Solve for p. 1 ≤ p + 16 < 2 Write your answer as a compound inequality with integers. Choices: (A)17 ≤ p < 18 (B)-15 ≤ p < -14 (C)-15 ≤ p < 18 (D)17 ≤ p < -14

Analyze Inequality: Analyze the compound inequality 1 ≤ p + 16 < 2. To isolate p, we need to subtract 16 from all parts of the inequality.Subtract 16: Subtract 16 from all parts of the inequality. 1 - 16 ≤ p + 16 - 16 < 2 - 16 -15 ≤ p < -14Check Solution: Check the solution to ensure it makes sense. If we substitute p with a number between -15 and -14, the original inequality 1 ≤ p + 16 < 2 should hold true. Let's test p = -14.5. 1 ≤ -14.5 + 16 < 2 1 ≤ 1.5 < 2 which is true.

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Math Problems

Algebra 1

Solve compound inequalities

Full solution

Q. Solve for

p

\newline

1 \leq p + 16 < 2

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Write your answer as a compound inequality with integers.

\newline

Choices:

\newline

(A)

17 \leq p < 18

\newline

(B)

-15 \leq p < -14

\newline

(C)

-15 \leq p < 18

\newline

(D)

17 \leq p < -14

Analyze Inequality: Analyze the compound inequality 1 \leq p + 16 < 2. $\newline$ To isolate $p$ , we need to subtract $16$ from all parts of the inequality.
Subtract $16$ : Subtract $16$ from all parts of the inequality. $\newline$ 1 - 16 \leq p + 16 - 16 < 2 - 16 $\newline$ -15 \leq p < -14
Check Solution: Check the solution to ensure it makes sense. $\newline$ If we substitute $p$ with a number between $-15$ and $-14$ , the original inequality 1 \leq p + 16 < 2 should hold true. Let's test $p = -14.5$ . $\newline$ 1 \leq -14.5 + 16 < 2 $\newline$ 1 \leq 1.5 < 2 which is true.