grade 9 · A1-003

Solve a linear inequality

Preserve equivalence while isolating a variable and reversing the sign when required.

Learn togetherFresh problem · seed 1286845614

Solve \(6x - 11 ≥ 19\).

Let's work it out together.

Work through one checkpoint at a time. Your answer area opens after the reasoning.

Checkpoint 1

Undo the constant term on both sides.
Checkpoint 2

Divide both sides by the positive coefficient.
Checkpoint 3

Keep the inclusive endpoint because the original relation includes equality.

\(x ≤ 5\)\(x ≥ -5\)\(x > 5\)\(x ≥ 5\)