How do you solve the inequality $|2t-9|<=3$ ?

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Answer 1 · 2016-04-04T20:04:26

$|2t-9|<=3 \iff -3 <= 2t - 9 <= 3 \iff 6 <= 2t <= 12 \iff 3 <= t <= 6 \iff t \in [3, 6].$

How do you solve the inequality |2t-9|<=3|2t-9|<=3?