Question

49 POINTS!!!!!!!!

Which two inequalities can be used to solve the inequality |3x - 7| < = 15

I. 3x – 7 ≤ -15 II. 3x – 7 ≤ 15
III. 3x – 7 ≥ -15
IV. 3x – 7 ≥ 15

Answers:
I only
II only
I and III
II and III

Answer 1

The answer is II and III, which is the last choice from above. This is because the symbol "less than (or equal to)" indicated a conjunction, which means we have to take into account that the absolute value can be less than or equal to 15, and greater than or equal to -15. This solution set falls in between the two values, hence, the conjunction.