Question

Solve the inequality.
-2x + 8 < 14
and -3x - 9 ≥ -12
x>?
and
x≤

Answer 1

x > -3 and x ≤ 1

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