Problem preview
MF.EQ.10 Warmup MF-037-A02-V01

Solve one-step inequalities and represent solutions on a number line.

Solve a positive-coefficient one-step inequality

Problem

Solve \(4x~\le~20\).

Big Picture

What this problem is really about

The variable is multiplied by positive four, so divide both sides by four to isolate it. Division by a positive number preserves the ordering and keeps the inequality symbol facing the same way. Keep the equality bar as well, because a boundary that makes the original comparison equal is included; test the boundary and a value on the indicated side.

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Four variants of this problem type
Curriculum context
Standard
MF.EQ.10
Category
Pre-Algebra
Domain
Inequalities
Objective
Solve one-step inequalities and represent solutions on a number line.
Problem type
Solve a positive-coefficient one-step inequality