Solve for v. -9 ≤ -1(v + 3) + 4 ______

Combine like terms: Now, combine the like terms on the right side of the inequality. -3 + 4 equals 1. So the inequality now reads -9 ≤ -v + 1.Isolate variable term: Next, isolate the variable term by subtracting 1 from both sides of the inequality. -9 - 1 ≤ -v + 1 - 1 simplifies to -10 ≤ -v.Divide by -1: To solve for v, divide both sides of the inequality by -1. Remember that dividing or multiplying both sides of an inequality by a negative number reverses the inequality sign. So, -10 / -1 ≥ -v / -1 simplifies to 10 ≥ v, which is the same as v ≤ 10.Final answer: The final answer is v ≤ 10. This means that v can be any number less than or equal to 10.

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Solve for $v$ . $\newline$ $-9 \leq -1(v + 3) + 4$

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Algebra 1

Solve advanced linear inequalities

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Q. Solve for

v

\newline

-9 \leq -1(v + 3) + 4

Combine like terms: Now, combine the like terms on the right side of the inequality. $-3 + 4$ equals $1$ . So the inequality now reads $-9 \leq -v + 1$ .
Isolate variable term: Next, isolate the variable term by subtracting $1$ from both sides of the inequality. $-9 - 1 \leq -v + 1 - 1$ simplifies to $-10 \leq -v$ .
Divide by $-1$ : To solve for $v$ , divide both sides of the inequality by $-1$ . Remember that dividing or multiplying both sides of an inequality by a negative number reverses the inequality sign. So, $-10 / -1 \geq -v / -1$ simplifies to $10 \geq v$ , which is the same as $v \leq 10$ .
Final answer: The final answer is $v \leq 10$ . This means that $v$ can be any number less than or equal to $10$ .