Question

5a + 18 < -27
choose 1 answer:
a
<----|----|----|--•--|----|----|----|----|----|----|----|----|----|----|--->
-12 -11 -10 -9 -8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3
b
<----|----|----|--○--|----|----|----|----|----|----|----|----|----|----|--->
-12 -11 -10 -9 -8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3
c
<----|----|----|--○--|----|----|----|----|----|----|----|----|----|----|--->
-12 -11 -10 -9 -8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3

Explanation:

Step1: Solve the inequality \(5a + 18 < -27\)

Subtract 18 from both sides: \(5a + 18 - 18 < -27 - 18\)
Simplify: \(5a < -45\)

Step2: Divide both sides by 5

\(\frac{5a}{5} < \frac{-45}{5}\)
Simplify: \(a < -9\)

This means the solution is all real numbers less than -9. On a number line, this is represented by an open circle at -9 (since -9 is not included) and an arrow pointing to the left (towards smaller numbers). Option C has an open circle at -9 and the arrow pointing left, which matches our solution.

Answer:

C