What you’ll learn
Solve the multi-step inequality and enter the exact solution set.
Key idea
Equivalent inequality steps preserve the same half-line; multiplying or dividing by a negative reverses the comparison.
Worked example
Solve the multi-step inequality and enter the exact solution set.
3(2x) + 0 > x - 20
- 6x > x - 20
- 5x > -20
- x > -4
Answer: x > -4
Quick Check
Analyze the proposed student response. Choose Correct or Incorrect.
4(-4x - 4) - 1 <= -x + 28 Student response: x >= -3