Question

2y – 6(3у – 1) < 11(1 - у);​

Answer 1

Объяснение:

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Answer 2

To solve the inequality $2y - 6(3y - 1) < 11(1 - y)$, follow these steps:

1. Distribute the constants through the parentheses: $2y - 18y + 6 < 11 - 11y$

2. Combine like terms on both sides of the inequality: $-16y + 6 < 11 - 11y$

3. Add $11y$ to both sides: $-16y + 11y + 6 < 11$

4. Simplify the left side: $-5y + 6 < 11$

5. Subtract 6 from both sides: $-5y < 5$

6. Divide both sides by -5. Since you're dividing by a negative number, the inequality sign flips: $y > -1$

So, the solution to the inequality $2y - 6(3y - 1) < 11(1 - y)$ is $y > -1$.