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-7t+2\geq \frac{46}{2}
Divide both sides by 2. Since 2 is positive, the inequality direction remains the same.
-7t+2\geq 23
Divide 46 by 2 to get 23.
-7t\geq 23-2
Subtract 2 from both sides.
-7t\geq 21
Subtract 2 from 23 to get 21.
t\leq \frac{21}{-7}
Divide both sides by -7. Since -7 is negative, the inequality direction is changed.
t\leq -3
Divide 21 by -7 to get -3.