Question

The variable q represents a positive integer. Does 3(5q+9)+5q represent a number that is greater than, less than, or equal to 4(5q+6)? Show your work.

Answer 1

3(5q+9)+5q is greater than 4(5q+6) because expand and see 20q+27>20q+24
Which is 2 less

Answer 2

3(5q+9)+5q is equal to 4(5q+6)

Explanation:

3(5q+9)+5q is equal to 4(5q+6). To show this, first expand the expressions:

3(5q+9)+5q = 15q+27+5q = 20q+27

4(5q+6) = 20q+24