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Solve the inequality and draw the solution |r|-3>2

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We want to solve the following inequality


|r|\text{ -3 >2}

To solve this inequality, we first add 3 on both sides, so we get


|r|>2+3=5

So we have the inequality


|r|>5

Recall that the absolute value represents the distance from a number to 0. So this means that the number r is greater than 5 or it is less than -5. So we have the following two inequalities


r>5
r<\text{ -5}

This could be drawn on the number line as follows. Greater than (>) means that the number 5 is on the left, and the less than (<) means that the number -5 is on the right side. So we get the following

Solve the inequality and draw the solution |r|-3>2-example-1
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