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# Inequality

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Solve 1/3*t - 5 < t - 2. Give your answer as an interval.

Jun 3, 2022

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Solve $$\frac{1}{3}t-5 .$$

From isolating $$t$$, we get $$-\frac{2}{3}t<3$$. Then, by multiplying $$-\frac{3}{2}$$, the inequality becomes $$t>-\frac{9}{2}$$. (Be careful to switch the inequality sign!)

Therefore, in interval notation, the answer is $$(-\frac{9}{2},\infty)$$

Jun 6, 2022
edited by RainbowSquirrel53  Jun 6, 2022