Question
If $\Delta$ is an operation on integers such that for integers a and b, $\text{a }\Delta\text{ b}=\text{a}-\text{b}-(-5)$. Find the values of: $(-7)\ \Delta\ 3$

Answer

$\because\text{a }\Delta\text{ b}= \text{a}-\text{b}-(-5)$ $\therefore(-7)\ \Delta\ 3=(-7)-3-(-5)$ $= -7 - 3 + 5$ $= -(7 + 3) + 5$ $= -10 + 5$ $= -(10 - 5)$ $= -5$

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