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Solve for $j$ . $\newline$ $-1 < j + 4 \leq 3$ $\newline$ Write your answer as a compound inequality with integers. $\newline$ Choices: $\newline$ (A) $-5 < j < -1$ $\newline$ (B) $-5 \leq j \leq -1$ $\newline$ (C) $-5 < j \leq -1$ $\newline$ (D) $-5 \leq j < -1$

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Solve compound inequalities

Full solution

Q. Solve for

j

.

\newline

-1 < j + 4 \leq 3

\newline

Write your answer as a compound inequality with integers.

\newline

Choices:

\newline

(A)

-5 < j < -1

\newline

(B)

-5 \leq j \leq -1

\newline

(C)

-5 < j \leq -1

\newline

(D)

-5 \leq j < -1

Undo addition of $4$ : To isolate $j$ , we need to undo the addition of $4$ to $j$ . We will subtract $4$ from all parts of the inequality. $-1 < j + 4 \leq 3$ $-1 - 4 < j + 4 - 4 \leq 3 - 4$ $-5 < j \leq -1$

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