GCSE Maths, Unit 7, Lesson 5 of 5
Brainlag Plus

Linear inequalities

GCSE Maths, Linear equations and inequalities, 25 minutes

Have Plus? Sign in

Solve inequalities like equations, reverse the sign when you divide by a negative, show and list the solutions, and describe regions on a graph.

Solve like an equation

Most steps are the same as for an equation: 3x + 5 < 20 gives 3x < 15, so x < 5.

The one difference: multiplying or dividing by a negative number reverses the sign. 10 − 2x ≥ 4 gives −2x ≥ −6, so x ≤ 3. (Check: x = 0 works, and 0 ≤ 3.)

The rest of this lesson and its 9 practice questions are in Plus.

Screen 1 of 4, free to read.

  • 9 exam-style questions, marked as you go, each with a worked solution
  • The Equation Solver beside every question
  • Anything you get wrong is saved to your flashcards