Question

Solve for the Value of m?-12>24

Answer 1

SOLUTION

TO DETERMINE

The value of m for which

$\sf{ - 12m > 24}$

EVALUATION

Here the given inequality is

$\sf{ - 12m > 24}$

Dividing both sides by - 12 we get

$\displaystyle \sf{ \frac{ - 12m}{ - 12} < \frac{24}{ - 12} }$

$\displaystyle \sf{ \implies \: m < - 2 }$

Thus the given inequality is true for all values of m satisfying m < - 2

For example m = - 3 , - 4, ...

Hence the required solution set is

$\sf{S = \{ \: m \in \mathbb{R} : m < - 2 \: \}}$

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