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Solve for $t$ . $\newline$ $-20t + 17 < 9t + 8(-10t - 17)$ $\newline$ Write your answer with $t$ first, followed by an inequality symbol. $\newline$ ______

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Solve linear inequalities

Full solution

Q. Solve for

t

.

\newline

-20t + 17 < 9t + 8(-10t - 17)

\newline

Write your answer with

t

first, followed by an inequality symbol.

\newline

______

Combine like terms: Now, combine like terms on the right side. $\newline$ $-20t + 17 < -71t - 136$
Add terms: Next, add $71t$ to both sides to get all the $t$ terms on one side. $\newline$ $-20t + 71t + 17 < -71t + 71t - 136$ $\newline$ $51t + 17 < -136$
Subtract to isolate: Then, subtract $17$ from both sides to isolate the $t$ term. $\newline$ $51t + 17 - 17 < -136 - 17$ $\newline$ $51t < -153$
Divide to solve: Finally, divide both sides by $51$ to solve for $t$ . $\newline$ $\frac{51t}{51} < \frac{-153}{51}$ $\newline$ $t < -3$

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