Question

A plane must travel at least 120 miles per hour to stay in the air. To avoid breaking the sound barrier, a plane must travel under 760 miles per hour. What is the inequality?

a) x ≤ 120
b) x > 760
c) 120 ≤ x < 760
d) 120 < x ≤ 760

Answer 1

The inequality representing the speed range for a plane to stay airborne without breaking the sound barrier is 120 ≤ x < 760, matching option (c) from the question choices.

Step-by-step explanation:

The student's question is asking for the inequality representing the speed range within which a plane must travel to stay airborne and not break the sound barrier. To formulate this inequality:

• The plane must fly at least 120 miles per hour to stay in the air, which means the speed (x) must be greater than or equal to 120.
• To avoid breaking the sound barrier, the plane must fly at a speed less than 760 miles per hour, meaning the speed (x) must be less than 760.

Therefore, the inequality that represents these conditions is 120 ≤ x < 760, which corresponds to option (c).