Question

Solve each compound inequality. Then graph the solution set.

A kite can be flown in wind speeds no less than 7 miles per hour and no more than 16 miles per hour. Write an inequality for the wind speeds at which the kite can fly.

Short answer

The inequality for the wind speeds at which the kite can fly is $7\le x\le 16$.

The graph of the solution set which is$x\in \left[7,16\right]$ is:

Step-by-step solution

Step 1. Write an inequality for the wind speeds at which the kite can fly.

Let x be the speed of the wind.

It is given that a kite can be flown in wind speeds no less than 7 miles per hour and no more than 16 miles per hour.

Therefore, the inequality is $7\le x\le 16$.

Therefore, the inequality for the wind speeds at which the kite can fly is $7\le x\le 16$.

Therefore, the solution set is $x\in \left[7,16\right]$.

Step 2. Draw the graph of the solution set which is x∈7,16.

The graph of the solution set which is$x\in \left[7,16\right]$ is: