Question

How are the solutions for |x + 4| < –2 and |x + 4| < 2 different?
A.
They are not different, because the inequality is an absolute value.
B.
The first inequality has no solution because absolute value cannot be negative.
C.
For one, the solution is between two numbers. For the other, the solution is outside of the two numbers.
D.
For one the solution is a range of positive numbers, for the other, the solution is a range of negative numbers.

Answer 1

A negative number is always less than an absolute value, thus |x + 4| < –2 is impossible.
The second one, |x + 4| < 2 just gives
- 2 < x + 4 < 2
-6 < x < -2
So, all numbers that are greater than -6 and less than -2 fit.

(Interval (-6,-2)

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Next time however, please use the correct section ─ MATHEMATICS.

Thank you for your cooperation!

Answer 2

Lol thanks for your help! Sorry didnt notice what section i had put it in

Answer 3

yeah it happens, sometimes my comp places me into incorrect sections saying that they are something else ... it totally fine:)
You welcome !

Answer 4

Yeah thats how my computer is too :)