Inequalities · Grades 9–10
Solve an inequality with a negative coefficient
Free worked example · No account needed
Example question
-2x + 3 > 11
Work through it
- 1
-2x > 8
Subtract 3 from both sides. The inequality direction stays the same when adding or subtracting.
- 2
x < -4
Divide both sides by -2. Dividing an inequality by a negative reverses its direction, so > becomes <.
Final answer
x < -4