Question

For all real numbers , a,b and c, if a>b and c>0, then a-c ___b-c

Answer 1

-------------------------------------------------------------------------------------------------------------

Answer:  $\textsf{a - c } > \textsf{ b - c}$

-------------------------------------------------------------------------------------------------------------

Given:  $\textsf{a} > \textsf{b and c} > \textsf{0}$

Find: $\textsf{a - c } \_\_\_ \textsf{ b - c}$

Solution: Since we know that a is greater than b this means that no matter if we subtract or add a constant to both sides a would stay greater than b. Therefore, this would give us the expression of a - c > b - c.