Question

which inequality represents the situation
umber of students, n, must not exceed 45\?
a. ( n leq 45 )
b. ( n geq 45 )
c. ( n = 45 )
d. ( n > 45 )

what is the solution to ( -4x geq 16 )?
a. ( x leq 4 )
b. ( x leq -4 )
c. ( x geq -4 )
d. ( x geq 4 )

Explanation:

Step1: Analyze "must not exceed"

"Must not exceed 45" means $n$ is ≤ 45, so choose option a.

Step2: Solve $-4x \geq 16$

Divide both sides by -4 (reverse inequality): $x \leq -4$, so choose option b.

Answer:

a. $n \leq 45$
b. $x \leq -4$