Solve for u. -13(u - 3) - 11 ≤ 2 ______

Distribute -13: Distribute -13 across the parentheses in the inequality -13(u - 3) - 11 ≤ 2. -13 * u + (-13) * (-3) - 11 ≤ 2 -13u + 39 - 11 ≤ 2Combine like terms: Combine like terms on the left side of the inequality. -13u + 39 - 11 = -13u + 28 So, -13u + 28 ≤ 2Isolate variable term: Isolate the variable term by subtracting 28 from both sides of the inequality. -13u + 28 - 28 ≤ 2 - 28 -13u ≤ -26Divide by -13: Divide both sides of the inequality by -13 to solve for u. Remember to reverse the inequality sign because we are dividing by a negative number. -13u / -13 ≥ -26 / -13 u ≥ 2

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Algebra 1

Solve advanced linear inequalities

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Q. Solve for

u

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-13(u - 3) - 11 \leq 2

Distribute $-13$ : Distribute $-13$ across the parentheses in the inequality $-13(u - 3) - 11 \leq 2$ .
$-13 \times u + (-13) \times (-3) - 11 \leq 2$
$-13u + 39 - 11 \leq 2$
Combine like terms: Combine like terms on the left side of the inequality. $\newline$ $-13u + 39 - 11 = -13u + 28$ $\newline$ So, $-13u + 28 \leq 2$
Isolate variable term: Isolate the variable term by subtracting $28$ from both sides of the inequality. $\newline$ $-13u + 28 - 28 \leq 2 - 28$ $\newline$ $-13u \leq -26$
Divide by $-13$ : Divide both sides of the inequality by $-13$ to solve for $u$ . Remember to reverse the inequality sign because we are dividing by a negative number. $\newline$ $-13u / -13 \geq -26 / -13$ $\newline$ $u \geq 2$