Question

For all real numbers a,b and c
If a>b, then a+c___ b+c

Answer 1

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

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Given: $\textsf{a} > \textsf{b}$

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

Solution:  We know that a is greater than b and we also know that we are going to be adding c to both sides which means that both sides would increase by the same amount.  Therefore a + c would still be greater than b + c giving us the expression of a + c > b + c.