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Solve for $y$ . $\newline$ $-2(y - 11) \leq 2$

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Solve advanced linear inequalities

Full solution

Q. Solve for

y

.

\newline

-2(y - 11) \leq 2

Distribute $-2$ : Distribute $-2$ across the parentheses in the inequality $-2(y - 11) \leq 2$ .
$-2 \times y + -2 \times (-11) \leq 2$
$-2y + 22 \leq 2$
Subtract $22$ : Subtract $22$ from both sides of the inequality to isolate the term containing $y$ . $\newline$ $-2y + 22 - 22 \leq 2 - 22$ $\newline$ $-2y \leq -20$
Divide by $-2$ : Divide both sides of the inequality by $-2$ to solve for $y$ . Remember that dividing by a negative number reverses the inequality sign. $\newline$ $-2y / -2 \geq -20 / -2$ $\newline$ $y \geq 10$

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