Question

Which of the following represents a compound inequality?

A) -18 < 3(1 + 2) < 12
B) 31 + 5 – 2x > 7x + 2
C) Both A and B are compound inequalities.
D) Neither A nor B is a compound inequality.

Answer 1

Option A represents a compound inequality because it is written as -18 < 3(1 + 2) < 12, while option B is not a compound inequality as it only contains one inequality.

Step-by-step explanation:

A compound inequality is an inequality that contains two separate inequalities connected by the word 'and' or 'or'. In this case, option A represents a compound inequality because it is written as -18 < 3(1 + 2) < 12. The inequalities -18 < 3(1 + 2) and 3(1 + 2) < 12 are connected by the word 'and'. Option B is not a compound inequality because it only contains one inequality, 31 + 5 – 2x > 7x + 2. Therefore, the correct answer is C) Both A and B are compound inequalities.