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$Solve for t. Reduce any fractions to lowest terms. Don't round your answer, and don't use mixed fractions. 4t-3 > 37 t-50$

Solve for $t$ . Reduce any fractions to lowest terms. Don't round your answer, and don't use mixed fractions. $\newline$ 4t-3 > 37t-50

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Solve multi-step inequalities

Full solution

Q. Solve for

t

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

\newline

4t-3 > 37t-50

Isolate the variable $t$ : Isolate the variable $t$ on one side of the inequality. $\newline$ $4$ t - $3$ > $37$ t - $50$ $\newline$ Subtract $37$ t from both sides to get all terms with $t$ on one side. $\newline$ $4$ t - $37$ t - $3$ > $37$ t - $37$ t - $50$
Subtract $37t$ from both sides: Combine like terms. $\newline$ -33t - 3 > -50 $\newline$ Add $3$ to both sides to isolate the term with $t$ . $\newline$ -33t - 3 + 3 > -50 + 3
Combine like terms: Simplify both sides. $\newline$ -33t > -47 $\newline$ Divide both sides by $-33$ to solve for t. Remember that dividing by a negative number reverses the inequality sign. $\newline$ -\frac{33t}{33} < -\frac{47}{33}
Add $3$ to both sides: Simplify the division. $\newline$ t < \frac{47}{33} $\newline$ Reduce the fraction to lowest terms if possible. $\newline$ $\frac{47}{33}$ is already in its lowest terms.

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