Solve the inequality.
-2x + 8 < 14
and -3x - 9 ≥ -12
x>?
and
x≤
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Answer:
x > -3 and x ≤ 1
Step-by-step explanation:
[First inequality]
Given:
-2x + 8 < 14
Subtract 8 from both sides:
-2x < -6
Divide both sides by -2, since it's negative we also flip the sign:
x > 3
[Second inequality]
Given:
-3x - 9 ≥ -12
Add 9 to both sides:
-3x ≥ -3
Divide both sides by -3, since it's a negative we also flip the sign:
x ≤ 1