Solve for q. 50q+43 > -11q + 70

Identify Inequality: Identify the inequality that needs to be solved. 50q + 43 > -11q + 70Isolate Variable Terms: Isolate the variable terms on one side of the inequality by adding 11q to both sides. 50q + 43 + 11q > -11q + 70 + 11qCombine Like Terms: Combine like terms on both sides of the inequality. (50q + 11q) + 43 > 70 61q + 43 > 70Isolate Constant Terms: Isolate the constant terms on the other side of the inequality by subtracting 43 from both sides. 61q + 43 - 43 > 70 - 43Combine Like Terms: Combine like terms on both sides of the inequality. 61q > 70 - 43 61q > 27Divide by 61: Divide both sides of the inequality by 61 to solve for q. 61q / 61 > 27 / 61Simplify Solution: Simplify both sides of the inequality. q > 27 / 61

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Algebra 2

Factor quadratics

Full solution

Q. Solve for

q

\newline

50q+43 > -11q + 70

Identify Inequality: Identify the inequality that needs to be solved. 50q + 43 > -11q + 70
Isolate Variable Terms: Isolate the variable terms on one side of the inequality by adding $11q$ to both sides. $\newline$ 50q + 43 + 11q > -11q + 70 + 11q
Combine Like Terms: Combine like terms on both sides of the inequality. $\newline$ (50q + 11q) + 43 > 70 $\newline$ 61q + 43 > 70
Isolate Constant Terms: Isolate the constant terms on the other side of the inequality by subtracting $43$ from both sides. $\newline$ 61q + 43 - 43 > 70 - 43
Combine Like Terms: Combine like terms on both sides of the inequality. $\newline$ 61q > 70 - 43 $\newline$ 61q > 27
Divide by $61$ : Divide both sides of the inequality by $61$ to solve for $q$ .\frac{61q}{61} > \frac{27}{61}
Simplify Solution: Simplify both sides of the inequality. q > \frac{27}{61}