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Solve for $d$ . $\newline$ d - 9 < -8 or d - 6 > -1 $\newline$ Write your answer as a compound inequality with integers. $\newline$ Choices: $\newline$ (A)d < 1 or $d \geq 5$ $\newline$ (B) $d \leq 1$ or $d \geq 5$ $\newline$ (C) $d \leq 1$ or d > 5 $\newline$ (D)d < 1 or d > 5

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Solve compound inequalities

Full solution

Q. Solve for

d

.

\newline

d - 9 < -8

or

d - 6 > -1

\newline

Write your answer as a compound inequality with integers.

\newline

Choices:

\newline

(A)

d < 1

or

d \geq 5

\newline

(B)

d \leq 1

or

d \geq 5

\newline

(C)

d \leq 1

or

d > 5

\newline

(D)

d < 1

or

d > 5

Isolate $d$ in first inequality: Solve the first part of the compound inequality d - 9 < -8. To isolate $d$ , we need to add $9$ to both sides of the inequality. d - 9 < -8 d - 9 + 9 < -8 + 9 d < 1
Isolate $d$ in second inequality: Solve the second part of the compound inequality d - 6 > -1. To isolate $d$ , we need to add $6$ to both sides of the inequality. d - 6 > -1 d - 6 + 6 > -1 + 6 d > 5
Combine solutions for compound inequality: Combine the solutions from Step $1$ and Step $2$ to form the compound inequality. $\newline$ The solution to the compound inequality is d < 1 or d > 5.

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