Question

Graph the inequality. \(x \leq 7\)

Short answer

The inequality \(x \leq 7\) is portrayed on the number line as a filled circle on '7' and a colored line extending to the left of '7', encompassing all numbers less than '7'.

Step-by-step solution

Understand the Inequality

The inequality \(x \leq 7\) means that \(x\) is less than or equal to 7. This means any value that \(x\) can take must satisfy this condition – it must be 7 or any number less than 7.

Draw the Number Line

Draw a number line, with '0' in the center. Mark '7' to the right of '0', and also mark a few numbers to the left and right of '7' to make it more clear.

Graph the Inequality

Since the inequality is \(x \leq 7\), you should fill in or color the number line to the left of '7', including '7' itself. Since it says 'less than or equal to', you make a closed circle at '7' and color the line to the left of '7'.