Question

Which compound sentence is equivalent to |2x + 3| < 8?
A. x - 5 > 4 or x - 5 < -4
B. -4 < x - 5 < 4
C. -8 < 2x + 3 < 8
D. x - 5 = 4 or x - 5 = -4
E. 2x + 3 > 8 or 2x + 3 < -8

Answer 1

we can solve if you like but the last 4 BCDE cannot be correct, two are inequalities and you started with an equality so B and D are out
C is out because clearly there is some solution, and E is out because it cannot always be true