x
-9; x
6 or in interval notation [-9,6]
To find out what are the steps in solving the below inequality:
Given equation is 2x - 3 > 15
The absolute value function takes any term and transforms it to its non-negative form. Therefore, we must solve the term within the absolute value function for both its negative and positive equivalent.
−15≤2x-3≤15
First, subtract 3 from each segment of the system of equations to isolate the x term while keeping the system balanced:
−15−3≤2x-3−3≤15−3
−18≤2x-6≤12
−18≤2x-6≤12
Now, divide each segment of the system by 2 to solve for x while keeping the system balanced:

-9
x
6
or
x
-9; x
6
or in interval notation [-9,6]
on the horizontal axis.
The lines will be a solid line because the inequality operators contain "or equal to" clauses.
We will shade between the lines to show the interval:
Hence the steps to solve an inequality has been show
To learn more about inequalities click here brainly.com/question/24372553
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Answer: Todd earned $40 mowing the neighbor's lawn.
Step-by-step explanation:
Let x represent the amount of money that Todd earned, mowing his neighbor's lawn.
He spent one-fourth of his money see a movie. It means that the amount spent in seeing a movie is x/4
Then he spent $6.00 on popcorn and drinks. It means that the total amount spent is
x/4 + 6
The amount left would be
x - (x/4 + 6) = x - x/4 - 6
When he went home, he had $24.00 left. It means that
x - x/4 - 6 = 24
x - x/4 = 24 + 6
x - x/4 = 30
Cross multiplying by 4, it becomes
4x - x = 120
3x = 120
x = 120/3
x = $40
Do you want us to answer or simplify?
Simplify:=−18x^7 y^3 + 21x^5 y^4+ 15x^2 y^5
Assuming that <span>4^2-6(2^x)-16=0 is correct, we can rearrange it as:
</span><span>-6(2^x) + 4^2 - 16=0
Are you sure it's not </span>6(2^x) + 4^2 - 16=0 ?
If 6(2^x) + 4^2 - 16=0 is correct, then
6(2^x) + 4^2 - 16=16 - 16 = 0, that is, 6(2^x) = 0. Then x = 0 (answer)
Let
x------> the number of multiple choice question
y------> the number of free response question
we know that
-----> equation A

-----> equation B
Substitute equation B in equation A
Find the value of x


therefore
<u>the answer is</u>
the number of multiple choice question are 
the number of free response question are 