Solve for v. 5 ≤ 4(v - 19) + 17 ______

Distribute 4: Distribute 4 into the parentheses. Calculation: 5 ≤ 4(v - 19) + 17 becomes 5 ≤ 4v - 76 + 17.Combine like terms: Combine like terms on the right side of the inequality. Calculation: 4v - 76 + 17 simplifies to 4v - 59. So, the inequality now is 5 ≤ 4v - 59.Add 59: Add 59 to both sides of the inequality to isolate the term with the variable v. Calculation: 5 + 59 ≤ 4v - 59 + 59 becomes 64 ≤ 4v.Divide by 4: Divide both sides of the inequality by 4 to solve for v. Calculation: 64 ≤ 4v becomes 64/4 ≤ v, which simplifies to 16 ≤ v.Rewrite inequality: Rewrite the inequality with v on the left side. Calculation: 16 ≤ v is equivalent to v ≥ 16.

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Math Problems

Algebra 1

Solve advanced linear inequalities

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Q. Solve for

v

\newline

5 \leq 4(v - 19) + 17

Distribute $4$ : Distribute $4$ into the parentheses. $\newline$ Calculation: $5 \leq 4(v - 19) + 17$ becomes $5 \leq 4v - 76 + 17$ .
Combine like terms: Combine like terms on the right side of the inequality. $\newline$ Calculation: $4v - 76 + 17$ simplifies to $4v - 59$ . $\newline$ So, the inequality now is $5 \leq 4v - 59$ .
Add $59$ : Add $59$ to both sides of the inequality to isolate the term with the variable $v$ . $\newline$ Calculation: $5 + 59 \leq 4v - 59 + 59$ becomes $64 \leq 4v$ .
Divide by $4$ : Divide both sides of the inequality by $4$ to solve for $v$ . $\newline$ Calculation: $64 \leq 4v$ becomes $\frac{64}{4} \leq v$ , which simplifies to $16 \leq v$ .
Rewrite inequality: Rewrite the inequality with $v$ on the left side. $\newline$ Calculation: $16 \leq v$ is equivalent to $v \geq 16$ .