Question

which inequality represents the statement?
reduced price movie tickets are available for the following ages (a): children 13 or under and adults 65 years or over.
$a < 14$ or $a > 64$
$a \leq 14$ or $a > 65$
$a \leq 13$ or $a \geq 64$
$a < 14$ or $a \leq 65$

Explanation:

Step1: Translate child age condition

Children are 13 or under: $a \leq 13$. This is equivalent to $a < 14$ (since age is a whole number, being less than 14 means maximum 13).

Step2: Translate adult age condition

Adults are 65 or over: $a \geq 65$. This is equivalent to $a > 64$ (since age is a whole number, being greater than 64 means minimum 65).

Step3: Match to option

Combine the two conditions: $a < 14$ or $a > 64$.

Answer:

a < 14 or a > 64