Solve for d. -3 > d - 20 > -7 Write your answer as a compound inequality with integers. Choices: (A)17 ≥ d > 13 (B)d > 17 or d d > 13 (D)d ≥ 17 or d < 13

Analyze Compound Inequality: Analyze the compound inequality -3 > d - 20 > -7. Which operation should we use to isolate d? In d - 20, 20 is being subtracted from d. Addition should be used to isolate d.Use Addition to Isolate: Add 20 to all parts of the inequality -3 > d - 20 > -7. -3 + 20 > d - 20 + 20 > -7 + 20 17 > d > 13 This gives us the compound inequality with d isolated.Add 20 to All Parts: Check the inequality signs to ensure they are correct. The original inequality was -3 > d - 20 > -7. After adding 20 to all parts, the inequality signs should still point in the same direction, and the resulting inequality should be 17 > d > 13.

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Math Problems

Algebra 1

Solve compound inequalities

Full solution

Q. Solve for

d

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-3 > d - 20 > -7

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Write your answer as a compound inequality with integers.

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Choices:

\newline

(A)

17 \geq d > 13

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(B)

d > 17

d < 13

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(C)

17 > d > 13

\newline

(D)

d \geq 17

d < 13

Analyze Compound Inequality: Analyze the compound inequality -3 > d - 20 > -7. $\newline$ Which operation should we use to isolate $d$ ? $\newline$ In $d - 20$ , $20$ is being subtracted from $d$ . $\newline$ Addition should be used to isolate $d$ .
Use Addition to Isolate: Add $20$ to all parts of the inequality -3 > d - 20 > -7. $\newline$ -3 + 20 > d - 20 + 20 > -7 + 20 $\newline$ 17 > d > 13 $\newline$ This gives us the compound inequality with $d$ isolated.
Add $20$ to All Parts: Check the inequality signs to ensure they are correct. $\newline$ The original inequality was -3 > d - 20 > -7. After adding $20$ to all parts, the inequality signs should still point in the same direction, and the resulting inequality should be 17 > d > 13.