Solve for g. 4 ≤ g + 15 ≤ 11 Write your answer as a compound inequality with integers. Choices: (A)19 ≤ g ≤ -4 (B)-11 ≤ g ≤ 26 (C)-11 ≤ g ≤ -4 (D)19 ≤ g ≤ 26

Analyze Inequality: Analyze the given compound inequality. The inequality 4 ≤ g + 15 ≤ 11 involves adding 15 to g. To isolate g, we need to subtract 15 from all parts of the inequality.Subtract 15: Subtract 15 from all parts of the inequality. 4 ≤ g + 15 ≤ 11 4 - 15 ≤ g + 15 - 15 ≤ 11 - 15 -11 ≤ g ≤ -4Check Solution: Check the solution. We can check the solution by picking a number within the range -11 ≤ g ≤ -4 and substituting it back into the original inequality to see if it holds true. Let's pick g = -5. 4 ≤ -5 + 15 ≤ 11 4 ≤ 10 ≤ 11 This is true, so our solution seems correct.

Resources

Testimonials

Plans

Resources

Testimonials

Plans

AI tutor

Welcome to Bytelearn!

Let’s check out your problem:

Solve for $g$ . $\newline$ $4 \leq g + 15 \leq 11$ $\newline$ Write your answer as a compound inequality with integers. $\newline$ Choices: $\newline$ (A) $19 \leq g \leq -4$ $\newline$ (B) $-11 \leq g \leq 26$ $\newline$ (C) $-11 \leq g \leq -4$ $\newline$ (D) $19 \leq g \leq 26$

View step-by-step help

Home

Math Problems

Algebra 1

Solve compound inequalities

Full solution

Q. Solve for

g

\newline

4 \leq g + 15 \leq 11

\newline

Write your answer as a compound inequality with integers.

\newline

Choices:

\newline

(A)

19 \leq g \leq -4

\newline

(B)

-11 \leq g \leq 26

\newline

(C)

-11 \leq g \leq -4

\newline

(D)

19 \leq g \leq 26

Analyze Inequality: Analyze the given compound inequality. $\newline$ The inequality $4 \leq g + 15 \leq 11$ involves adding $15$ to $g$ . To isolate $g$ , we need to subtract $15$ from all parts of the inequality.
Subtract $15$ : Subtract $15$ from all parts of the inequality. $\newline$ $4 \leq g + 15 \leq 11$ $\newline$ $4 - 15 \leq g + 15 - 15 \leq 11 - 15$ $\newline$ $-11 \leq g \leq -4$
Check Solution: Check the solution. $\newline$ We can check the solution by picking a number within the range $-11 \leq g \leq -4$ and substituting it back into the original inequality to see if it holds true. Let's pick $g = -5$ . $\newline$ $4 \leq -5 + 15 \leq 11$ $\newline$ $4 \leq 10 \leq 11$ $\newline$ This is true, so our solution seems correct.