Q34. - Algebra 1

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.

Step-by-Step Solution

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 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: