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$Solve for r. Reduce any fractions to lowest terms. Don't round your answer, and don't use mixed fractions. 35 r-21 < -35 r+19$

Solve for $r$ . Reduce any fractions to lowest terms. Don't round your answer, and don't use mixed fractions. $\newline$ 35r-21 < -35r+19

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Solve multi-step inequalities

Full solution

Q. Solve for

r

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

\newline

35r-21 < -35r+19

Isolate variable term: Isolate the variable term on one side of the inequality by adding $35r$ to both sides. $\newline$ 35r - 21 + 35r < -35r + 19 + 35r $\newline$ 70r - 21 < 19
Isolate $r$ : Next, isolate $r$ by adding $21$ to both sides of the inequality. $\newline$ $70$ r - $21$ + $21$ < $19$ + $21$ $\newline$ $70$ r < $40$
Divide both sides: Finally, divide both sides by $70$ to solve for $r$ . $\newline$ \frac{70r}{70} < \frac{40}{70} $\newline$ r < \frac{4}{7}

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