To make a small vase, Elisa uses no more than 4.5 ounces of clay. To make a large vase, she uses at least 12 ounces of clay. Which compound inequality represents the number of ounces of clay, c, that Elisa uses to make one vase of either size? 4.5 < c < 12 4.5 ≤ c ≤ 12 c < 4.5 or c > 12 c ≤ 4.5 or c ≥ 12

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07-09-2022
Mathematics

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To make a small vase, Elisa uses no more than 4.5 ounces of clay. To make a large vase, she uses at least 12 ounces of clay. Which compound inequality represents the number of ounces of clay, c, that Elisa uses to make one vase of either size? 4.5 < c < 12 4.5 ≤ c ≤ 12 c < 4.5 or c > 12 c ≤ 4.5 or c ≥ 12

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rafikiedu08 rafikiedu08 · Answer 1 · 2022-09-13T07:44:32-04:00

The compound inequality that represents the number of ounces of clay, "c", Elisa uses to make one vase of either size is [(c ≤ 4.5) or (c ≥ 12)].

As per the question statement, Elisa uses no more than 4.5 ounces of clay to make a small vase and at least 12 ounces of clay to make a large vase.

We are required to find out the compound inequality that represents the number of ounces of clay, that she uses to make one vase of either size.

Let the number of ounces of clay, that Elisa uses to make one vase of either size be denoted by "c".

Since, Elisa uses no more than 4.5 ounces of clay to make a small vase, The words "no more than" implies maximum, i.e., "either less than or equals to" and hence, for a small vase, "c" must be less than or equal to 4.5 oz, which gives [tex](c \leq 4.5)[/tex] ...(1)

On the other hand, to make a large vase, she uses at least 12 ounces of clay where the words "at least" means minimum, i.e, "either more than or equals to" and hence, for a large vase,

Thus "c" is more than or equal to 12 oz, which gives [tex](c \geq 12)[/tex]...(2)

Now, combining (1) and (2), we get [(c ≤ 4.5) or (c ≥ 12)] which is option "d".

compound inequality: In mathematics, a compound inequality is an inequality that combines or "compounds" two simple inequalities.

To know more about compound inequality, click on the link below.

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