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Solve each inequality. Write the solution in set builder notation
7y-(4y+2)>-41

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To solve the inequality 7y - (4y + 2) > -41, we can follow these steps:

1. Distribute the negative sign to the terms inside the parentheses:

7y - 4y - 2 > -41

2. Combine like terms on the left side of the inequality:

3y - 2 > -41

3. Add 2 to both sides of the inequality to isolate the variable:

3y - 2 + 2 > -41 + 2

3y > -39

4. Divide both sides of the inequality by 3 to solve for y:

(3y)/3 > (-39)/3

y > -13

Therefore, the solution to the inequality 7y - (4y + 2) > -41, in set builder notation, is: y > -13.

User Lupu Silviu
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