In the following inequality, solve for q.\(-3 q+12>4 q-30\)



First, gather the like terms on opposite sides of the equation to make it easier to solve:
\(-3 a-4 a>-30-12\)
\(-7 q>-42\)
Then, divide both sides by -7 to solve for q:

\(\frac{-7 q}{ -7}>\frac{-42} {-7}\)
\(q > 6\)
Finally, when both sides are divided by a negative number, the direction of the sign must be reversed: q < 6

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