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

Respuesta :

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

we know that the expression is equal to

[tex]\frac{x+7}{2}- \frac{x+4}{2}[/tex]

Subtract the two fractions

[tex]\frac{x+7}{2}- \frac{x+4}{2}=\frac{(x+7)-(x+4)}{2} \\\\=\frac{x+7-x-4}{2}\\\\= \frac{7-4}{2}\\\\= \frac{3}{2}[/tex]

therefore

the answer is

the quantity of [tex]3[/tex] over [tex]2[/tex]