On a road in the city of Madison, the maximum speed is 45 miles per hour and the minimum speed is 35 miles per hour. Let x represents the speed. You can write two inequalities to represent the speed restrictions. The inequalities and can be combined and can be written without using and. a. Explain how compound inequalities can be use to describe the speed restrictions on roads.   b. Include a compound inequality describing a possible age restriction for driving on roads. Describe what this represents. (Minimum driving age is 16 years, and most drivers stop renewing their licenses by age 100.)

Answer:a. 35≤x≤45 where x represents speedb. 16≤y≤100 where y represents ageStep-by-step explanation:a. Explain how compound inequalities can be use to describe the speed restrictions on roads.   x represents the speed, thenthe maximum speed is 45 milesx≤45the minimum speed is 35 miles x≥35Both inequalities represent the speed restrictionsThe compound inequality will be:35≤x≤45b. Include a compound inequality describing a possible age restriction for driving on roads. Describe what this represents. (Minimum driving age is 16 years, and most drivers stop renewing their licenses by age 100.)Let y be the agethenMinimum driving age is 16 yearsy≥16most drivers stop renewing their licenses by age 100.)y≤100The compound inequality will be:16≤y≤100 ..