Solve for x. -1 > x - 15 ≥ -17 Write your answer as a compound inequality with integers. Choices: (A)14 ≥ x ≥ -2 (B)14 > x > -2 (C)14 > x ≥ -2 (D)14 ≥ x > -2

Undo subtraction of 15: To isolate x, we need to undo the subtraction of 15 from x. We do this by adding 15 to each part of the inequality. -1 + 15 > x - 15 + 15 ≥ -17 + 15Perform addition: Perform the addition for each part of the inequality. 14 > x ≥ -2Rewrite in interval notation: The inequality 14 > x ≥ -2 can be rewritten in interval notation as (C)14 > x ≥ -2, which matches one of the given choices.

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Solve for $x$ . $\newline$ -1 > x - 15 \geq -17 $\newline$ Write your answer as a compound inequality with integers. $\newline$ Choices: $\newline$ (A) $14 \geq x \geq -2$ $\newline$ (B) 14 > x > -2 $\newline$ (C) 14 > x \geq -2 $\newline$ (D) 14 \geq x > -2

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Math Problems

Algebra 1

Solve compound inequalities

Full solution

Q. Solve for

x

\newline

-1 > x - 15 \geq -17

\newline

Write your answer as a compound inequality with integers.

\newline

Choices:

\newline

(A)

14 \geq x \geq -2

\newline

(B)

14 > x > -2

\newline

(C)

14 > x \geq -2

\newline

(D)

14 \geq x > -2

Undo subtraction of $15$ : To isolate $x$ , we need to undo the subtraction of $15$ from $x$ . We do this by adding $15$ to each part of the inequality. $\newline$ -1 + 15 > x - 15 + 15 \geq -17 + 15
Perform addition: Perform the addition for each part of the inequality. 14 > x \geq -2
Rewrite in interval notation: The inequality 14 > x \geq -2 can be rewritten in interval notation as (C)14 > x \geq -2, which matches one of the given choices.