Question

For all real numbers , a,b and c, if a>b and c>0, 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 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.