Answer:
x = 1 makes the inequality true
x = 4 makes the inequality true
x = -4 makes the inequality false
Explanation:
We can determine whether x = 1, x = 4, and x = -4 makes the inequality by plugging in 1, 4, and -4 for x and seeing whether the inequality still holds true:
Step 1: Plugging in 1 for x:
8 ≥ 5 - 1
8 ≥ 4
Because 8 is greater than 4, x = 1 makes the inequality true.
Step 2: Plugging in 4 for x:
8 ≥ 5 - 4
8 ≥ 1
Because 8 is also greater than 4, x = 4 also makes the inequality true.
Step 3: Plugging in -4 for x:
8 ≥ 5 - (-4)
8 ≥ 5 + 4
8 ≥ 9
Because 8 is not less than 9, x = -4 makes the inequality false