Adding a Number to Each Side

Year 10 Interactive Maths - Second Edition

Adding a Number to Each Side of an Inequality

Adding a number to each side of an inequality does not change the sign of the inequality.

Add 4 to each side to find x >= 5. Therefore, the solution set is {x : x >= 5}.

(i) The solution set consists of all numbers greater than or equal to 5, and is shown on the number line as follows:

The solid dot at 5 in this diagram means that 5 is an element of the solution set.

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