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

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

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Math Problems

Algebra 1

Solve compound inequalities

Full solution

Q. Solve for

w

\newline

w + 1 \geq 15

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

w \leq -1

\newline

(C)

14 > w \geq -1

\newline

(D)

w \geq 14

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 $w \leq -1$