Solve the inequality.

4│x + 5│ - 2 ≤ 10

A) -8 ≤ x ≤ -2
B) 3 ≤ x ≤ 8
C) x ≤ -8 or x ≥ -2
D) x ≤ -8

Question

Solve the inequality.

4│x + 5│ - 2 ≤ 10

A) -8 ≤ x ≤ -2	
B) 3 ≤ x ≤ 8
C) x ≤ -8 or x ≥ -2	
D) x ≤ -8

anonymous · Answer

4 | x+5 | ≤ 12
| x+5 | ≤ 3
x ≤ -2
so at this point B and D can be eliminated

In the answer choices, the differences between choice A and C is whether x is ≤ -8 or ≥ -8
and we may get the answer simply by plugging in numbers

Choice C: Let x be -9 (x ≤ -8 or x ≥ -2)
| -9+5 | ≤ 3
| -4 | ≤ 3
4 ≤ 3 <--which is incorrect
Therefore the answer should be C

anonymous · Answer

ugh i mean A :S typo sorry