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$Solve for q. Reduce any fractions to lowest terms. Don't round your answer, and don't use mixed fractions. 50 q+43 > -11 q+70$

Solve for $q$ . Reduce any fractions to lowest terms. Don't round your answer, and don't use mixed fractions. $\newline$ 50q + 43 > -11q + 70

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Solve multi-step inequalities

Full solution

Q. Solve for

q

. Reduce any fractions to lowest terms. Don't round your answer, and don't use mixed fractions.

\newline

50q + 43 > -11q + 70

Isolate q: First, we need to isolate the variable $q$ on one side of the inequality. We can start by adding $11q$ to both sides to move all the $q$ terms to the left side of the inequality. $\newline$ 50q + 43 + 11q > -11q + 70 + 11q
Combine like terms: Now, we combine like terms on both sides of the inequality. $\newline$ (50q + 11q) + 43 > 70 $\newline$ 61q + 43 > 70
Subtract $43$ : Next, we subtract $43$ from both sides to isolate the term with $q$ on the left side. $\newline$ 61q + 43 - 43 > 70 - 43 $\newline$ 61q > 27
Divide by $61$ : Finally, we divide both sides by $61$ to solve for $q$ .\frac{61q}{61} > \frac{27}{61}q > \frac{27}{61}

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