Which of the following is a solution to the inequality below? –1 ≤ p Choices: (A)p = –1 (B)p = –2 (C)p = –9 (D)p = –3

Understand the inequality: Understand the inequality. The inequality –1 ≤ p means that p is greater than or equal to –1.Test choices against inequality: Test each choice against the inequality. Start with choice (A) p = –1. Check if –1 ≤ p is true when p = –1. –1 ≤ –1 is true because –1 is equal to –1.Check choice (A) p = -1: Since choice (A) is true, we have found at least one solution to the inequality. However, we need to check all other choices to ensure there are no other solutions.Check choice (B) p = -2: Test choice (B) p = –2. Check if –1 ≤ p is true when p = –2. –1 ≤ –2 is false because –2 is less than –1.Check choice (C) p = -9: Test choice (C) p = –9. Check if –1 ≤ p is true when p = –9. –1 ≤ –9 is false because –9 is much less than –1.Check choice (D) p = -3: Test choice (D) p = –3. Check if –1 ≤ p is true when p = –3. –1 ≤ –3 is false because –3 is less than –1.

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Math Problems

Grade 8

Solutions to inequalities

Full solution

Q. Which of the following is a solution to the inequality below?

\newline

-1 \leq p

\newline

Choices:

\newline

(A)

p = -1

\newline

(B)

p = -2

\newline

(C)

p = -9

\newline

(D)

p = -3

Understand the inequality: Understand the inequality. $\newline$ The inequality $-1 \leq p$ means that $p$ is greater than or equal to $-1$ .
Test choices against inequality: Test each choice against the inequality. $\newline$ Start with choice (A) $p = -1$ . $\newline$ Check if $-1 \leq p$ is true when $p = -1$ . $\newline$ $-1 \leq -1$ is true because $-1$ is equal to $-1$ .
Check choice (A) $p = -1$ : Since choice (A) is true, we have found at least one solution to the inequality. However, we need to check all other choices to ensure there are no other solutions.
Check choice (B) $p = -2$ : Test choice (B) $p = -2$ . $\newline$ Check if $-1 \leq p$ is true when $p = -2$ . $\newline$ $-1 \leq -2$ is false because $-2$ is less than $-1$ .
Check choice (C) $p = -9$ : Test choice (C) $p = -9$ . $\newline$ Check if $-1 \leq p$ is true when $p = -9$ . $\newline$ $-1 \leq -9$ is false because $-9$ is much less than $-1$ .
Check choice (D) $p = -3$ : Test choice (D) $p = -3$ . $\newline$ Check if $–1 \leq p$ is true when $p = –3$ . $\newline$ $–1 \leq –3$ is false because $–3$ is less than $–1$ .