Solving Double Inequalities

Maths: Edexcel A Level Pure Maths, topic 2.3.2

Double Inequalities

Solve -3 < x⁄2 +3 ≤ 4:

Write the inequality

Write the inequality

Multiply both sides and the middle by 2

Multiply both sides and the middle by 2

  • This is to get rid of the fraction.
Subtract 6 from both sides and the middle

Subtract 6 from both sides and the middle

This is our solution

This is our solution

  • We always want x on its own in the middle.

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