Solve for p. p + 4 > 17 or p - 1 21 or p 21 or p 13 or p 13 or p < 9

Subtract to isolate p: To solve the inequality p + 4 > 17, we need to isolate p. To do this, we subtract 4 from both sides of the inequality. p + 4 - 4 > 17 - 4 p > 13Add to isolate p: Now, to solve the inequality p - 1 13 and p 13 or p < 11

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Math Problems

Algebra 1

Solve compound inequalities

Full solution

Q. Solve for

p

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p + 4 > 17

p - 1 < 10

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Write your answer as a compound inequality with integers.

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Choices:

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(A)

p > 21

p < 11

\newline

(B)

p > 21

p < 9

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(C)

p > 13

p < 11

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(D)

p > 13

p < 9

Subtract to isolate $p$ : To solve the inequality p + 4 > 17, we need to isolate $p$ . To do this, we subtract $4$ from both sides of the inequality. $\newline$ p + 4 - 4 > 17 - 4 $\newline$ p > 13
Add to isolate $p$ : Now, to solve the inequality p - 1 < 10, we need to isolate $p$ . To do this, we add $1$ to both sides of the inequality. $\newline$ p - 1 + 1 < 10 + 1 $\newline$ p < 11
Express as compound inequality: We have two separate inequalities from the original compound inequality: p > 13 and p < 11. These inequalities do not overlap, so we express them as a compound inequality using ＂or＂.p > 13 or p < 11