Step-by-step explanation:
We would insert the values of x in the inequality. If the result is true, then the value of x makes it true
-5x + 3 > -17
if x = -3
-5(-3) + 3 > -17
15 + 3 > -17
18 > -17 (true)
if x = -2
-5(-2) + 3 > -17
10 + 3 > -17
13 > -17 (true)
if x = 0
-5(0) + 3 > -17
0 + 3 > -17
3 > -17 ( true)
if x = 4
-5(-3) + 3 > -17