Alright, let's break down the given statement and find the correct inequality that represents it step-by-step.
The statement we're analyzing is:
"Reduced price movie tickets are available for the following ages (a): children 13 or under and adults 65 years or over."
1. Identify the age ranges:
- Children 13 or under: This can be written as [tex]\( a \leq 13 \)[/tex].
- Adults 65 years or over: This can be written as [tex]\( a \geq 65 \)[/tex].
2. Combine the age ranges using "or":
- Since reduced price movie tickets apply to either of these age groups, we use the logical "or" to combine these conditions.
Putting it all together, the correct inequality is:
[tex]\[ a \leq 13 \quad \text{or} \quad a \geq 65 \][/tex]
Therefore, the correct answer is:
[tex]\[ a \leq 13 \ \text{or} \ a \geq 64 \][/tex]
