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Solve the inequality 2z−7>−3z.

Question

Solve the inequality 2z−7>−3z.

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Solution

Sure, here are the steps to solve the inequality 2z - 7 > -3z:

Step 1: Add 3z to both sides of the inequality to get all the z terms on one side. This gives you:

2z + 3z > -7

Step 2: Simplify the left side of the inequality to get:

5z > -7

Step 3: Divide both sides of the inequality by 5 to solve for z:

z > -7/5

So, the solution to the inequality 2z - 7 > -3z is z > -7/5.

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