To solve this inequality, we can start by adding 33 to both sides:
-15 + 33 < -33 + 33 - 6u
This simplifies to:
18 < -6u
Next, divide both sides by -6, remembering to reverse the inequality since we are dividing by a negative number:
18/-6 > -6u/-6
This simplifies to:
-3 > u
Thus, the solution to the inequality is u < -3.
-15 < -33 - 6u
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