Linear Inequalities

Not everything in life is exactly equal - sometimes you need "at least" or "at most". Inequalities describe a range of possible values, and this topic covers solving and graphing them.

  • Solving linear inequalities
  • Representing solutions on a number line
  • Combined inequalities

Lessons for Linear Inequalities

Solving Linear Inequalities

Same rules as equations, with one twistSolve an inequality just like an equation - EXCEPT: if you multiply or divide …

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Representing Solutions on a Number Line

Reading the diagramAn open circle means the value is not included (like a gate that's shut but not locked - …

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Combined Inequalities

Two conditions at onceSometimes a value must satisfy two boundaries at the same time - like a bus fare that …

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Exercises for Linear Inequalities

Solve the inequalities

Solve 3x - 5 > 10Solve 4 - x ≤ 9Solve -2x + 6 < 0Solve 5(x-1) ≥ 3x+7

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Draw the number lines

Draw the number line for x ≥ 3.Draw the number line for x < -2.Write the inequality shown by a …

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Combined inequalities

Solve -1 ≤ x + 2 < 6Solve 2 < 3x - 4 ≤ 11 and list integer solutions.Find the …

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