Question

To get the best price for an evening movie at the Regency 11, you have to be under 12 years old. You receive the same discounted ticket if you are 60 years of age or older. Write a compound inequality to represent this and graph it on the number line given below.

A. x ≤ 12 or x ≥ 60
B. x > 12 and x < 60
C. x ≤ 60 or x ≥ 12
D. x > 60 and x < 12

Answer 1

The compound inequality that represents the condition of getting the best price for an evening movie at the Regency 11 is x ≤ 12 or x ≥ 60.

Step-by-step explanation:

The compound inequality that represents the condition of getting the best price for an evening movie at the Regency 11, either by being under 12 years old or being 60 years of age or older, is x ≤ 12 or x ≥ 60. This means that the person's age, represented by 'x', must be less than or equal to 12 or greater than or equal to 60.

Graphically, this compound inequality can be represented on a number line by shading the area to the left of 12 and the area to the right of 60, including the endpoints.