Question

inequality: 5 + x < 11 (b) find the possible numbers of additional hours kareem will work on the report. write your answer as an inequality solved for x. x < 6 (c) on the number - line below, graph the solution that represents the possible numbers of additional hours kareem will work on the report.

Explanation:

Step1: Solve the inequality $5 + x<11$

Subtract 5 from both sides.
$5 + x-5<11 - 5$

Step2: Simplify the inequality

$x<6$

Step3: Graph the solution on the number - line

Draw an open circle at 6 (because $x$ is less than 6, not less than or equal to 6) and draw an arrow to the left of 6.

Answer:

The solution of the inequality is $x < 6$. On the number - line, there is an open circle at 6 and an arrow pointing to the left.