–3x – 5 ≤ –20
-3x - 5 ≤ -20 Given
-3x - 5 + 5 ≤ -20 + 5 Add 5 to each side
-3x ≤ -15 Simplify
-3x/(-3) ≥ -15/(-3) Divide by -3 (Always reverse direction of inequality when dividing by a negative)
x ≥ 5 Simplify
–3x – 5 ≤ –20
-3x - 5 ≤ -20 Given
-3x - 5 + 5 ≤ -20 + 5 Add 5 to each side
-3x ≤ -15 Simplify
-3x/(-3) ≥ -15/(-3) Divide by -3 (Always reverse direction of inequality when dividing by a negative)
x ≥ 5 Simplify
Solve inequalities very similarly to how you solve equations
-3x - 5 ≤ -20 +5 to both sides
-3x ≤ -15 ÷-3 to both sides (note that when dividing or multiplying both sides of an inequality by a negative number, you must flip the inequality sign)
x ≥ 5