Question

Which sentence can represent the inequality? 1/4x+ 3/4 ≥ 5 1/4

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

B Half the sum of a number and three-fourths is not more than five and one quarter.

C The sum of half of a number and three-fourths is at most five and one quarter.

D Half the sum of a number and three-fourths is not less than five and one quarter.

Answer 1

Answer: Your choice is the first one above.

In our inequality, x is our unknown, so that is "a number" in the wording above. 1/2x means half the number. So we have half a number plus 3/4. Of course "plus" means sum, so we have "the sum of half a number and 3/4" so far. The inequality sign is greater than or equal to. That means that the left side CAN equal the right side and it can also be greater than the right side, but it's not ok to be less than the right side.

Answer 2

D

Explanation:

X is the unknown

The correct question is 1/2x not 1/4x

1/2 means half

3/4 means three fourth or three quarter

5 1/4 means five and quarter

Therefore 1/2 + 3/4 the sum of both according to the inequality sign ≥ (greater than or equal)

Denote that the sum of 1/2 + 3/4 can be equal or greater than 5 1/4, but can't be less than that.