Solve for b. b - 13 ≤ -14 or b - 14 ≥ 6 Write your answer as a compound inequality with integers. Choices: (A)b ≤ -1 or b ≥ 20 (B)b ≤ -27 or b ≥ -8 (C)b ≤ -27 or b ≥ 20 (D)b ≤ -1 or b ≥ -8

Add 13 to first inequality: We have two separate inequalities to solve: b - 13 ≤ -14 and b - 14 ≥ 6. Let's start with the first inequality b - 13 ≤ -14. To isolate b, we need to add 13 to both sides of the inequality. b - 13 + 13 ≤ -14 + 13 b ≤ -1Add 14 to second inequality: Now let's solve the second inequality b - 14 ≥ 6. To isolate b, we need to add 14 to both sides of the inequality. b - 14 + 14 ≥ 6 + 14 b ≥ 20Combine solutions: We have now solved both inequalities. The solution to the compound inequality is: b ≤ -1 or b ≥ 20

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Solve for $b$ . $\newline$ $b - 13 \leq -14$ or $b - 14 \geq 6$ $\newline$ Write your answer as a compound inequality with integers. $\newline$ Choices: $\newline$ (A) $b \leq -1$ or $b \geq 20$ $\newline$ (B) $b \leq -27$ or $b \geq -8$ $\newline$ (C) $b \leq -27$ or $b \geq 20$ $\newline$ (D) $b \leq -1$ or $b \geq -8$

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Math Problems

Algebra 1

Solve compound inequalities

Full solution

Q. Solve for

b

\newline

b - 13 \leq -14

b - 14 \geq 6

\newline

Write your answer as a compound inequality with integers.

\newline

Choices:

\newline

(A)

b \leq -1

b \geq 20

\newline

(B)

b \leq -27

b \geq -8

\newline

(C)

b \leq -27

b \geq 20

\newline

(D)

b \leq -1

b \geq -8

Add $13$ to first inequality: We have two separate inequalities to solve: $b - 13 \leq -14$ and $b - 14 \geq 6$ . Let's start with the first inequality $b - 13 \leq -14$ . $\newline$ To isolate $b$ , we need to add $13$ to both sides of the inequality. $\newline$ $b - 13 + 13 \leq -14 + 13$ $\newline$ $b \leq -1$
Add $14$ to second inequality: Now let's solve the second inequality $b - 14 \geq 6$ . $\newline$ To isolate $b$ , we need to add $14$ to both sides of the inequality. $\newline$ $b - 14 + 14 \geq 6 + 14$ $\newline$ $b \geq 20$
Combine solutions: We have now solved both inequalities. The solution to the compound inequality is: $b \leq -1$ or $b \geq 20$