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Chapter 6: Problem 17

Solve each inequality and graph the solution set on a number line. \(x-3<0\)

Short Answer

Expert verified
The solution to the inequality \(x-3<0\) is \(x<3\). On a number line, this is represented by an open circle at 3 with a line extending to the left, indicating all numbers less than 3.

Step by step solution

01

Rearrange the Inequality

Add 3 to both sides of the inequality to isolate 'x'. This gives us \(x<3\).
02

Graph the Solution

On a number line, make a small open circle at 3. An open circle indicates that 3 is not included in the solution set. Then, draw a line to the left of 3 to represent all the numbers less than 3. This gives a visual representation for all the values 'x' that satisfy the inequality.

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Most popular questions from this chapter

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