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αAπΣ∞∂θ√x²≠∫÷≤%+−½αβΔλφ³≈∑°
  1. Home/
  2. Mathematics/
  3. Grade 7/
  4. Unit 3/
  5. Two-Step Inequalities
Grade 7 · Unit 3Topic 3 of 3~22 min

Two-Step Inequalities

Solve like equations — but flip the sign when you multiply or divide by a negative.

All topics in this unit
αAπΣ∞∂θ√x²≠∫÷≤%+½αβΔ
Step 1 · Learn

Walkthrough

Read this first — it covers the idea in plain language with a worked example.

Solve like a two-step equation

Use inverse operations to isolate the variable, just like with equations.

The one special rule

Flip the sign

When you multiply or divide both sides by a negative number, reverse the inequality symbol.

Worked example

Solve -2x + 1 < 9.

  1. →Subtract 1 from both sides: -2x < 8.
  2. →Divide by -2 and flip the sign: x > -4.
αAπΣ∞∂θ√x²≠∫÷≤%+½αβΔ
Step 2 · Watch

Video walkthrough

Watch the main video, then check the second take if you want another explanation.

Khan Academy

Multi-Step Inequalities

Solve inequalities and know when to reverse the sign.

Watch on YouTube
Math Antics

Solving Inequalities

Solve inequalities the same way you solve equations.

Watch on YouTube
αAπΣ∞∂θ√x²≠∫÷≤%+½αβΔ
Step 3 · Practice

Practice

Try a worksheet or work through some problems before the quiz.

Khan Academy

Two-step inequalities

Open resource
Math Worksheets 4 Kids

Inequalities worksheets

Open resource
πΣ√≠≤+αβΔπΣx²θ÷+
Step 4 · Check

Quick check

A couple of questions to make sure this topic stuck. Retake as many times as you want.

Two-Step Inequalities

Question 1 of 2

Easy

Solve: 2x + 3 > 11.

αAπΣ∞∂θ√x²≠∫÷≤%+½αβΔ
←Previous · Topic 2 of 3Two-Step Equations→Finished the unit?Back to Unit 3