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ExpertsGlobal5
If x = 4p + 10 and |p| < 7, which of the following represents the correct range of values of x ?

A. -7 < x < 7
B. x > -18
C. x < 38
D. -38 < x < 18
E. -18 < x < 38

E is the correct answer choice.

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If
|p|<7

This means p is less than 7 units away from 0, so:

-7<p<7

Now use:

x=4p+10

Multiply the whole inequality by 4:

-28<4p<28

Then add 10 everywhere:

-18<4p+10<38

But:

4p+10=x

Therefore:

{-18<x<38}

So the correct answer is: E
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