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Solve the inequality: 2(y−3) + 7 > 10 if y > 11 or y < 11.

a. y > 11
b. y < 11
c. Both y > 11 and y < 11
d. None of the above

User Ujjal Das
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1 Answer

6 votes

Final answer:

a. y > 11. To solve the inequality, distribute the 2, simplify, isolate y, and compare the result to the given condition.

Step-by-step explanation:

The correct answer is option a. y > 11.

To solve the inequality 2(y−3) + 7 > 10, we first distribute the 2 to the terms inside the parentheses: 2y - 6 + 7 > 10. Simplifying further, we have 2y + 1 > 10. Next, we subtract 1 from both sides of the inequality: 2y > 9. Finally, we divide both sides by 2 to isolate y: y > 4.5. Since y needs to be greater than 11, we can conclude that the solution is y > 11.

The correct answer is option A, y > 11. To solve the inequality 2(y−3) + 7 > 10, we first distribute the 2 inside the parentheses: 2y - 6 + 7 > 10. Simplifying this we get 2y + 1 > 10. Subtracting 1 from both sides of the inequality we get 2y > 9. Finally, dividing both sides by 2 to isolate y we get y > 4.5. Since y > 4.5 is satisfied by any y that's greater than 11, the correct answer is option A, y > 11.

User Bocco
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