Question

What is the simplified form of the quantity of x plus 7, all over 2 − the quantity of x plus 4, all over 2?

the quantity of 3 over 2
the quantity of x plus 3, all over 2
the quantity of x minus 3, all over 2
the quantity of 2x plus 11, all over the quantity 2

Answer 1

(x + 7)/2 - (x + 4)/2 = (x + 7 - (x + 4)/2 = (x + 7 - x - 4)/2 = 3/2

Answer 2

we know that the expression is equal to

`(x+7)/(2)- (x+4)/(2)`

Subtract the two fractions

`(x+7)/(2)- (x+4)/(2)=((x+7)-(x+4))/(2) \\\\=(x+7-x-4)/(2)\\\\= (7-4)/(2)\\\\= (3)/(2)`

therefore

the answer is

the quantity of
`3` over
`2`