10 + 3x < 4 or 2x + 5 > 11 in interval notation​

Answers

Answer 1

Answer:

( − ∞ , ∞ ) hope i help

Step-by-step explanation:

First, solve each inequality. I'll solve the first one first.

7 ≥ 2 x − 5

12 ≥ 2 x

6 ≥ x

Therefore, x could be any number less than or equal to 6. In interval notation, this looks like:

( − ∞ , 6 ]

The parenthesis means that the lower end is not a solution, but every number above it is. (In this case, the lower end is infinity, so a parenthesis must be used, since infinity is not a real number and so it cannot be a solution.) The bracket means that the upper end is a solution. In this case, it indicates that not only could  

x

be any number less than 6, but it could also be 6.

Let's try the second example:

3 x − 2 4 > 4

3 x − 2 > 16    3 x > 18 x > 6

Therefore, x could be any number greater than 6, but x couldn't be 6, since that would make the two sides of the inequality equal. In interval notation, this looks like:

( 6 , ∞ )  

The parentheses mean that neither end of this range is included in the solution set. In this case, it indicates that neither 6 nor infinity are solutions, but every number in between 6 and infinity is a solution (that is, every real number greater than 6 is a solution).

Now, the problem used the word "OR", meaning that either of these equations could be true. That means that either  x  is on the interval  ( − ∞ , 6 ] or the interval  ( 6 , ∞ )

. In other words,  x

is either less than or equal to 6, or it is greater than 6. When you combine these two statements, it becomes clear that  

x

could be any real number, since no matter what number  

x

is, it will fall in one of these intervals. The interval "all real numbers" is written like this:

( − ∞ , ∞ )


Related Questions

Which sign makes the statement true is 1<,>,or =to -8

Answers

Step-by-step explanation: the greater than sign because 8 is greater than 1 boom there u go

8x-2=-947x
What does X stand for ?

Answers

Answer:

-7

Step-by-step explanation:

1st, regroup terms.

8x-2 = 7x -9

Next, subtract 7x from both sides.

8x-2-7x = -9

Next, Simplify 8x-2-7, to -2.

x-2 = -9

Add 2 to both sides.

x = -9 + 2

Simplify −9+2 to −7.

Find a · b.
a = −5, 1 / 2 ,
b = −5, 6

Answers

Answer:

a · b  = 28 units

Step-by-step explanation:

Given vectors

a = (-5, 1/2)

b = (-5, 6)

The scalar or dot product of the two vectors, given by a · b is

a · b  = (-5, 1/2) · (-5, 6)

To solve this, multiply the first term in a with the first term in b and add the result to the product of the second term in a and the second term in b. i.e

a · b  = (-5 x -5) +  (1/2 x 6)

a · b  = 25 + 3

a · b  = 28

Therefore, the dot product of a and b is

a · b  = 28 units

In circle V. r= 14ft.
What is the area of circle V?
14Tr ft2
28tt ft2
49tt ft2
196 ft2

Answers

Answer :

Radius of circle = 14ft

We have to find the area of circle[tex].[/tex]

Area of circle of radius R is given by

A = π × R²

⇒ A = π × R²

⇒ A = π × (14ft)²

A = 196π ft²

✪ Learn More :

Area of sqaure : (side)²

Area of rectangle = l × b

Area of triangle = 1/2 × b × p

Identify the range of the function shown in the graph.

Answers

B. The highest point y is equal to is 5 and the lowest is -5

Answer:

B

Step-by-step explanation:

I got it correct on A P E X

plz help. Write the fraction in lowest terms.

[tex] \frac{12}{30} [/tex]

Answers

Answer: 0.4

12/30 > 2/5 or .4

Answer:

2/5

Step-by-step explanation:

[tex] \frac{12}{30} = \frac{2 \times 6}{5 \times 6} = \frac{2}{5} \\ [/tex]

4(-8x + 5) - (-33x - 26) =

Answers

4(-8x + 5) - (-33x - 26) =-32x + 20 + 33x + 26=                      (distributive)-32x  + 33x + 26 + 20=                     (combine like terms)  x + 46

Hope it helps.

It takes a thermal drill 13 minutes to bore a hole -39 feet from ground level into a glacier. What is the change in depth after one minute?

Answers

Answer:

3 feet

Step-by-step explanation:

39 divided by 13 = the unit rate per min.

39 divided by 13 = 3

Answer:

-3 feet

Step-by-step explanation:

Divide -39 by 13, since it takes 13 minutes to dig -39 feet:

-39/13

= -3

So, the change in depth after one minute is -3 feet

Figure A is a scale image of Figure B.
What is the value of x?

Answers

Answer:

12

Step-by-step explanation:

30/25*10=12

Answer:

Step-by-step explanation:

f(2) =


...................

Answers

Answer:

-2

Step-by-step explanation:

u start from 2 on the x-axis and move down or up until there is a line there is an answer in your case its down, so the answer is -2

How many cans of each type of paint does Marc have left for day 3

Answers

The answer is 2 because it just is

Answer: how many cans did he have to begin with?

Step-by-step explanation:

#4. Identify the conclusion of the conditional statement: "I must reset the

clock if it's Daylight Saving time."*

A- I must reset the clock

B-It's Daylight Saving time

C-There is not conclusion

Answers

Answer:

C-There is not conclusion      

Step-by-step explanation:

In a conditional statement, there is a hypothesis and a conclusion. It is usually symbolized or represented by " If X, then Y." It is an if - then statement.

Here, the statement "X" is called the hypothesis and the statement "Y" denotes the conclusion. The conclusion is true if the hypothesis is true.

The conclusion of any conditional statement is the immediate phrase that follows the word 'then'.

In the context, the sentence "I must reset the  clock if it's Daylight Saving time." , the word 'then' is not there, so we can say that there is no conclusion in the statement.

18.4x-3.1=12.4x-16.9

Answers

Answer:

x=-2.3

hope this helps

Nancy buys 16 ounces of ice cream. Every
night after dinner, she eats three ounces. How
much ice cream will be left after four nights?
Make your own function table to solve.

Answers

Answer:

Hopefully you can read it

Step-by-step explanation:

Emily is a geometry teacher. She asks each student to bring in a cutout of a parallelogram. She tells them that one angle must measure 50° and the length of one side must be 10 centimeters. Emily also states that the parallelogram must not be a rhombus, rectangle, or square. Using this information, how many parallelogram(s) can each student prepare?

Answers

Answer:how many students

Step-by-step explanation:

what is the slope of the line below -3,2 3,2

a. negative
b.undefined
c. positive
d.zero

Answers

Answer:

0

Step-by-step explanation:

let (-3,2) be (x1,y1)

and(3,2)be(x2,y2)

Now,

slope = y2-y1/x2-x1

=2-2/3-(-3)

=0/3+3

=0/6

therefore slope=0

Simplify the expression: 4(9c − 7)

Answers

Answer:

36c - 28

Step-by-step explanation:

4(9c − 7)

Distribute

4 * 9c - 4*7

36c - 28

What is the Difference between 8 and -4

Answers

Answer:

One is postive and the other is negative but both are integers and whole numbers

Step-by-step explanation:

Answer:

12

Step-by-step explanation:

difference=minus

8-(-4)

8+4=12

HURRY!!!!

Rigid transformation test

will give 15 points

solve these two questions please


Answers

I think one is c And 2 I think is a I just use the desmos graphing calculator at desmos.com

A 2000-kilogram sports car accelerates at a rate of 30 meters per second squared. The velocity of the car is v = at, where a is acceleration in meters per second squared, and t is time in seconds. The kinetic energy of the car is K E = one-half m v squared, where m is the mass in kilograms. Which function represents the kinetic energy of the car after accelerating for t seconds?

Answers

Answer: D

KE = 900,000t2

Step-by-step explanation:

Thom’s restaurant bill is $45 and he leaves a 20 percent tip. What is the total cost for Thom’s meal?

Answers

Answer: $54

Step-by-step explanation:

Thom's bill is $45 and leaves a 20% tip. So you add 45+20%=54

Answer:

54

Step-by-step explanation:

Edge 2021

Write y+1=-2x-3 in standard form

Answers

Answer:

y=2x-4

Step-by-step explanation: this looks alot like an equation for slope is it?

Answer:

-2x - y = 4

Step-by-step explanation:

Standard Form: Ax + By = k

Note that while k is a variable, it stands for constant, which means the number with no variables attached would fill in the space. Isolate the constant. Subtract y, and add 3 to both sides:

y + 1 = -2x - 3

y (-y) + 1 = -2x - 3 (-y)

1 = -2x - 3 - y

1 = -2x - 3 - y

1 (+3) = -2x - 3 (+3) - y

4 = -2x - y

Set the equation so that it looks like the standard form equation given above:

-2x - y = 4 is your answer.

~

is 1 11/17 a rational number

Answers

Answer:

yes

Step-by-step explanation:

Rational numbers are integers, fractions, decimals, and whole numbers.

ej bisects def, m dej-5x+7, m JEF=8x-8. find x

Answers

Answer:

x = 5

Step-by-step explanation:

The information given has been sketched out in the attachment below.

Line segment EJ is an angle bisector of angle DEF. Therefore, m<DEJ = m<JEF.

The equation to find x would be expressed as follows:

5x + 7 = 8x - 8

Subtract 5x from each side (subtraction property of equality)

5x + 7 - 5x = 8x - 8 - 5x

5x - 5x + 7 = 8x - 5x - 8

0 + 7 = 3x - 8

7 = 3x - 8

Add 8 to both sides of the equation (addition property of equality)

7 + 8 = 3x - 8 + 8

15 = 3x

Divide both sides by 3

15/3 = 3x/3

5 = x

x = 5

i’ll give a thanks if you answer just need some help probably gonna be my last question

Answers

Answer:

Area is the quantity that expresses the extent of a two-dimensional figure or shape or planar lamina, in the plane. ... In mathematics, the unit square is defined to have area one, and the area of any other shape or surface is a dimensionless real number. Hope this help :)

Step-by-step explanation:

Answer:

See below.

Step-by-step explanation:

what property is 13+(7+29)=(13+7)+29

Answers

Answer:

associative property

Step-by-step explanation:

grouping changes

Solve the system by graphing.

2x + 3y = 6
6x= -9y + 18

Answers

Answer:y= -2x/3 + 2

Step-by-step explanation:

The answer is I pretty sure A

The cost of the lunches for the field trip can be represented by the expression Identity the values to make these expressions true Expand 29 to create an equivalent expression with fiendly numbers Distribute the Evaluate the multiplication 80 +36 +24​

Answers

Answer:

Expand 29 to create an equivalent expression with friendly numbers.

4(20+9) + 4(6)

Distribute the 4.

4(20)+ 4(9)+4(6)

Evaluate the multiplication

80 + 36 + 24 = 140

Step-by-step explanation:

i just took the assignment.

i hope this helps : ))

Answer:

A-20 + 9

A-4(20)+4(9)+4(6)

A-140

Step-by-step explanation

just did the assigment good luck <3

Find the value of h(-67) for the function below. h(x) = -49x − 125

Answers

Answer:

h(-67) = 3158

Step-by-step explanation:

Simply plug in -67 for x:

h(-67) = -49(-67) - 125

h(-67) = 3283 - 125

h(-67) = 3158

Answer: h(-67) = 3158

Step-by-step explanation:

-49(-67)-125

3283-125

3158

ricky has a bowl with 80 jellybeans in it. There are 16 red, 24 green,12 yellow,20 orange,ans 8 black jellybeans. Ricky takes one jellybean from the bowl without looking.

What is the probability he takes a yellow jellybean?
A)1/80
B)1/12
C)3/25
D)3/20
E)3/17

Answers

Answer:

D.3/20

Step-by-step explanation:

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