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Year 10 Interactive Maths - Second Edition


Inequalities Involving Two Operations

Example 30

Solve the inequality 2x - 9 > 17 for x.

Solution:

Add 9 to both sides and then divide both sides by 2 to find x > 13.

The solution set is {x : x > 13}.


Example 31

Solve the inequality 28 - 5x <= 13 for x.

Solution:

Subtract 28 from both sides, divide both sides by -5 and change <= into >= to find x >= 3.

The solution set is {x : x >= 3}.


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