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Which sentence can represent the inequality One-half x + three-fourths greater-than-or-equal-to 5 and one-fourth?

The sum of half of a number and three-fourths is at least five and one quarter.
Half the sum of a number and three-fourths is not more than five and one quarter.
The sum of half of a number and three-fourths is at most five and one quarter.
Half the sum of a number and three-fourths is not less than five and one quarter.

2 Answers

7 votes

Answer:

A or The sum of half of a number and three-fourths is at least five and one quarter.

Explanation:

User Frigon
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2 votes

Answer:

The sum of half of a number and three-fourths is at least five and one quarter

Explanation:

It's all about making sense of an English sentence.

"half the sum ..." is different from "the sum of half ..."

And ...

"at least" and "not less than" mean the same (≥)

"not more than" and "at most" mean the same (≤)

_____

Since all of the expressions are written out in words, it is a matter of matching the ideas expressed. That's a problem in reading comprehension, not math.

__

"One-half x + three-fourths [is] greater-than-or-equal-to 5 and one-fourth"

means the same as ...

"The sum of half of a number and three-fourths is at least five and one quarter"

User Nevster
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