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Solve for $t$ . $\newline$ $-8 < t - 17 \leq 3$ $\newline$ Write your answer as a compound inequality with integers. $\newline$ Choices: $\newline$ (A) $9 < t < 20$ $\newline$ (B) $9 < t \leq 20$ $\newline$ (C) $t < 9$ or $t \geq 20$ $\newline$ (D) $t < 9$ or $t > 20$

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Solve compound inequalities

Full solution

Q. Solve for

t

.

\newline

-8 < t - 17 \leq 3

\newline

Write your answer as a compound inequality with integers.

\newline

Choices:

\newline

(A)

9 < t < 20

\newline

(B)

9 < t \leq 20

\newline

(C)

t < 9

or

t \geq 20

\newline

(D)

t < 9

or

t > 20

Analyze Compound Inequality: Analyze the given compound inequality $-8 < t - 17 \leq 3$ . Which operation should we use to isolate $t$ ? In $t - 17$ , $17$ is being subtracted from $t$ . Addition should be used to isolate $t$ .
Use Addition to Isolate: Solve for $t$ by adding $17$ to all parts of the inequality. $\newline$ $-8 < t - 17 \leq 3$ $\newline$ $-8 + 17 < t - 17 + 17 \leq 3 + 17$ $\newline$ $9 < t \leq 20$

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