Algebra-2

To solve the inequality -3|2m - 5| < -9, we will follow these steps:

Step 1: Isolate the absolute value

Starting with the original inequality:

-3|2m - 5| < -9

Divide both sides by (-3). Remember that dividing by a negative number reverses the inequality:

|2m - 5| > 3

Step 2: Rewrite the absolute value inequality

The inequality |2m - 5| > 3 can be split into two separate inequalities:

2m - 5 > 3

2m - 5 < -3

Step 3: Solve the inequalities

For 2m - 5 > 3:

2m >

m >

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