Question

which inequality best represents the statement. reduced movie price tickets are available for the following ages (a): children 13 or under and adults 65 years or older

Answer 1

Answer:

13 $\geq$ a $\geq$ 65

Step-by-step explanation:

Let's first look at the beginning of the statement: Reduced movie tickets are available for the following ages (a): children 13 or under. In other words, we know that if you are 13, you can purchase reduced tickets, and if you are ANY age YOUNGER than (or below) 13, you are part of the age range. This tells us that a means your age is equal to 13, or it is less than 13. Because of this conclusion we have come to, we can see that we must use the less than or equal to sign, like this: a $\leq$ 13.

Now, for the second part of the statement that communicates that those 65 and older have this ability as well! In other words, if your age is equal to 65 or it is greater than 65, you are part of the age group that qualifies for the reduced tickets. This means we can use the greater than or equal to sign: a $\geq$ 65.

Just a little bit of work left to go, you're almost done!

Finally, we must figure out how to combine these to come to the correct answer. We have: a $\leq$ 13 and a $\geq$ 65. If we get a in the middle, we will be able to merge these two inequalities! It would make the most sense to keep 13 on the left side, numerically speaking, so we need to mirror everything in that inequality. this gives us: 13 $\geq$ a, which means the EXACT same thing!!! Now, we just add the other inequality to the end of the first to get our final answer of 13 $\geq$ a $\geq$ 65.

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Answer 2

Answer:

13≥x U x≥65

Step-by-step explanation:

For a customer to have the reduced movie price tickets, they have to be 13 or  younger, or 65 or older so I made the inequality, (X is less than or equal to 13) Union (X is greater than or equal to 65)