grade 9 · A1-003

Solve a linear inequality

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

Learn togetherFresh problem · seed 1266805913

Solve \(5x + 11 ≤ 46\).

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.

\(x ≤ 7\)\(x ≥ 7\)\(x ≤ -7\)\(x < 7\)