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.