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To solve the inequality \(-22t > 66\), you need to isolate \(t\) by dividing both sides of the inequality by \(-22\). When you divide by a negative number, you must reverse the inequality sign.
Thus, dividing both sides by \(-22\):
\[
t < \frac{66}{-22}
\]
\[
t < -3
\]
So the solution in inequality form is:
\[
t < -3
\]