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Solve for $p$ . $\newline$ $p + 8 \leq -2$ or p - 9 > -1 $\newline$ Write your answer as a compound inequality with integers. $\newline$ Choices: $\newline$ (A) p < -10 or p > 8 $\newline$ (B) p < -10 or $p \geq 8$ $\newline$ (C) $p \leq -10$ or p > 8 $\newline$ (D) $p \leq -10$ or $p \geq 8$

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Solve compound inequalities

Full solution

Q. Solve for

p

.

\newline

p + 8 \leq -2

or

p - 9 > -1

\newline

Write your answer as a compound inequality with integers.

\newline

Choices:

\newline

(A)

p < -10

or

p > 8

\newline

(B)

p < -10

or

p \geq 8

\newline

(C)

p \leq -10

or

p > 8

\newline

(D)

p \leq -10

or

p \geq 8

Isolate $p$ by Subtracting $8$ : To solve the inequality $p + 8 \leq -2$ , we need to isolate $p$ by subtracting $8$ from both sides of the inequality. $\newline$ $p + 8 \leq -2$ $\newline$ $p + 8 - 8 \leq -2 - 8$ $\newline$ $p \leq -10$
Isolate $p$ by Adding $9$ : To solve the inequality p - 9 > -1, we need to isolate $p$ by adding $9$ to both sides of the inequality. $\newline$ p - 9 > -1 $\newline$ p - 9 + 9 > -1 + 9 $\newline$ p > 8
Combine Compound Inequality: Now we combine both parts of the compound inequality to get the final solution. $p \leq -10$ or p > 8

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