Question

write and graph an inequality for the given solution set. {x|x < 7} an inequality is □.

Explanation:

Step1: Identify the inequality

The solution set $\{x|x < 7\}$ directly gives the inequality $x<7$.

Step2: Graph the inequality

On a number - line, we mark a open - circle at $x = 7$ (because $x$ is strictly less than 7, not equal to 7) and draw an arrow to the left to represent all the values of $x$ that satisfy the inequality.

Answer:

An inequality is $x<7$. The graph has an open - circle at 7 and an arrow pointing to the left.