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Which of the following is greater:$(-3)+(-6)$ or $(-3)-(-6)$.
Given :
The given expressions are $(-3)+(-6)$ and $(-3)-(-6)$.
To do :
We have to find which of the given expressions is greater.
Solution :
We know that,
$(+) \times (-) = (-)$
$(-) \times (-) = (+)$
LHS
$(-3)+(-6) = -3-6 = -(3+6) = -9$
RHS
$(-3)-(-6) = -3+6 = 6-3 = 3$.
Therefore,
$(-3)+(-6) < (-3)-(-6)$
Therefore, $ (-3)-(-6)$ is greater.
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