Write a compound inequality that represents the situation. on a road in the city of rochester, the maximum speed is 50 miles per hour, and the minimum speed is 20 miles per hour.

a. 20 ≥ x ≥ 50

b. 20 < x < 50

c. 20 > x > 50

d. 20 ≤ x ≤ 50

D) 20 ≤ x ≤ 50.

Step-by-step explanation:

Given : , the maximum speed is 50 miles per hour, and the minimum speed is 20 miles per hour.

To find: Write a compound inequality that represents the situation.

Solution : We have given that

Maximum speed  = 50 miles per hour.

Minimum speed  = 20 miles per hour.

Let x represent the speed .

According to question

maximum speed  is 50 or less than 50.

Then we will use less than equal to sing

x ≤ 50

For Minimum speed is 20 or greater than 20 .

x ≥ 20

On combining both statement,

20 ≤ x ≤ 50

Therefore, D) 20 ≤ x ≤ 50.

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