You have $60.00 in your wallet and want to buy some new CDs. If the CDs are $11.00 each, what number of CDs, x, can you buy? How do you write and solve an inequality?

Answer 1

You can buy 5 CD's

The function would be: #11n<=60# (usually, the #n#-notation is taken as a whole number)

You then divide both sides by #11#: #n<=5.4545...# And since you can't buy part of a CD, the answer is the whole number part.

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Answer 2

Genesis Allen

To write and solve the inequality for the number of CDs you can buy with $60.00 and CDs priced at$ 11.00 each:

Let x represent the number of CDs.

The cost of x CDs is 11x dollars.

Since you have $60.00 to spend, the inequality is:

11x ≤ 60

To solve for x, divide both sides by 11:

11x/11 ≤ 60/11

x ≤ 5.45

Since you can't buy a fraction of a CD, the maximum number of CDs you can buy is 5.

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.