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Solve for $w$ . $\newline$ $w + 1 \geq 15$ or $w + 10 \leq 9$ $\newline$ Write your answer as a compound inequality with integers. $\newline$ Choices: $\newline$ (A) $14 \geq w \geq -1$ $\newline$ (B) $w > 14$ or $w \leq -1$ $\newline$ (C) $14 > w \geq -1$ $\newline$ (D) $w \geq 14$ or $w \leq -1$

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Solve compound inequalities

Full solution

Q. Solve for

w

.

\newline

w + 1 \geq 15

or

w + 10 \leq 9

\newline

Write your answer as a compound inequality with integers.

\newline

Choices:

\newline

(A)

14 \geq w \geq -1

\newline

(B)

w > 14

or

w \leq -1

\newline

(C)

14 > w \geq -1

\newline

(D)

w \geq 14

or

w \leq -1

Isolate $w$ in first part: To solve the first part of the compound inequality, $w + 1 \geq 15$ , we need to isolate $w$ . To do this, we subtract $1$ from both sides of the inequality. $\newline$ $w + 1 - 1 \geq 15 - 1$ $\newline$ $w \geq 14$
Isolate $w$ in second part: To solve the second part of the compound inequality, $w + 10 \leq 9$ , we need to isolate $w$ . To do this, we subtract $10$ from both sides of the inequality. $\newline$ $w + 10 - 10 \leq 9 - 10$ $\newline$ $w \leq -1$
Combine both parts: Now we combine both parts of the compound inequality to get the final solution. $w \geq 14$ or $w \leq -1$

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