Question

1. rectangle abcd is shown with the dimensions given in units. the length of (overline{ab}) is (9x - 16). the length of (overline{ac}) is (1.5x+42). which inequality represents this situation? a. (9x - 16<1.5x + 42) b. (9x - 16>1.5x + 42) c. (10.5x<26) d. (10.5x>26)

Explanation:

Step1: Identify side - lengths

The length of $\overline{AB}=9x - 16$, and the length of $\overline{AC}=1.5x + 42$.

Step2: Set up the inequality

Since the length of $\overline{AB}$ is less than the length of $\overline{AC}$, we have the inequality $9x-16<1.5x + 42$.

Answer:

A. $9x - 16<1.5x + 42$