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Chapter 6: Problem 13

In Exercises 13-66, solve each inequality and graph the solution set on a number line. \(x-3>2\)

Short Answer

Expert verified
The solution to the inequality \(x - 3 > 2\) is \(x > 5\). This is represented on the number line as all values larger than 5.

Step by step solution

01

Isolate the variable

Start by adding 3 on both sides of the inequality, aiming to isolate the variable x. This results in \(x > 2 + 3\).
02

Simplify the inequality

Simplify the right side of the inequality. This gives the inequality \(x > 5\).
03

Interpret the inequality on a number line

On a number line, 5 is identified. Because x-values greater than 5 satisfy the inequality, an open circle is drawn at 5 and an arrow pointing towards values greater than 5 completes the number line.

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