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Solve for $v$ . $\newline$ $v + 2 > 15$ or $v + 13 \leq 10$ $\newline$ Write your answer as a compound inequality with integers. $\newline$ Choices: $\newline$ (A) $v \geq 13$ or $v \leq -3$ $\newline$ (B) $v \geq 13$ or $v < -3$ $\newline$ (C) $v > 13$ or $v < -3$ $\newline$ (D) $v > 13$ or $v \leq -3$

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Solve compound inequalities

Full solution

Q. Solve for

v

.

\newline

v + 2 > 15

or

v + 13 \leq 10

\newline

Write your answer as a compound inequality with integers.

\newline

Choices:

\newline

(A)

v \geq 13

or

v \leq -3

\newline

(B)

v \geq 13

or

v < -3

\newline

(C)

v > 13

or

v < -3

\newline

(D)

v > 13

or

v \leq -3

Isolate $v$ in first inequality: We have two inequalities to solve: $v + 2 > 15$ and $v + 13 \leq 10$ . Let's start with the first inequality. $\newline$ To isolate $v$ , we need to subtract $2$ from both sides of the inequality $v + 2 > 15$ . $\newline$ $v + 2 - 2 > 15 - 2$ $\newline$ $v > 13$
Isolate $v$ in second inequality: Now let's solve the second inequality: $v + 13 \leq 10$ . To isolate $v$ , we need to subtract $13$ from both sides of the inequality $v + 13 \leq 10$ . $v + 13 - 13 \leq 10 - 13$ $v \leq -3$
Combine solutions for compound inequality: We have two parts of the solution from the compound inequality: $v > 13$ from the first part and $v \leq -3$ from the second part. $\newline$ The compound inequality is then $v > 13$ or $v \leq -3$ .

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