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

Hint: |x + 4| < –2 has no solution. Absolute value is 0 or greater in the real number system.

Answer 2

so B

Answer 3

Yes, that is what I got.

Answer 4

thank you

Answer 5

hope is right

Answer 6

Well, look at the options:

A. They are not different, because the inequality is an absolute value.

We know that they are different so not A.

Answer 7

yea true

Answer 8

C. For one, the solution is between two numbers. For the other, the solution is outside of the two numbers.

One of the inequalities has NO solution so this description is out.

Answer 9

D. For one the solution is a range of positive numbers, for the other, the solution is a range of negative numbers.

Same thing here. No solution for |x + 4| < –2 so this option is out. That leaves B.

Answer 10

i see thank you