Solve for t. 4 ≤ t + 12 ≤ 6 Write your answer as a compound inequality with integers. Choices: (A)-8 ≤ t ≤ 18 (B)-8 ≤ t ≤ -6 (C)16 ≤ t ≤ -6 (D)16 ≤ t ≤ 18

Given Compound Inequality: We are given the compound inequality 4 ≤ t + 12 ≤ 6. To isolate t, we need to subtract 12 from all parts of the inequality.Subtract 12 from Inequality: Subtract 12 from each part of the inequality. 4 - 12 ≤ t + 12 - 12 ≤ 6 - 12 -8 ≤ t ≤ -6Check Solution: Check the solution for any mathematical errors. The subtraction was done correctly, and the inequality signs are in the correct direction.

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Math Problems

Algebra 1

Solve compound inequalities

Full solution

Q. Solve for

t

\newline

4 \leq t + 12 \leq 6

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Write your answer as a compound inequality with integers.

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Choices:

\newline

(A)

-8 \leq t \leq 18

\newline

(B)

-8 \leq t \leq -6

\newline

(C)

16 \leq t \leq -6

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(D)

16 \leq t \leq 18

Given Compound Inequality: We are given the compound inequality $4 \leq t + 12 \leq 6$ . To isolate $t$ , we need to subtract $12$ from all parts of the inequality.
Subtract $12$ from Inequality: Subtract $12$ from each part of the inequality. $\newline$ $4 - 12 \leq t + 12 - 12 \leq 6 - 12$ $\newline$ $-8 \leq t \leq -6$
Check Solution: Check the solution for any mathematical errors. The subtraction was done correctly, and the inequality signs are in the correct direction.