Which of the following is a solution to the inequality below? –2 ≤ k Choices: (A)k = –2 (B)k = –11 (C)k = –8 (D)k = –10

Check k = -2: Step 1: Check if k = -2 satisfies the inequality. -2 ≤ k Substitute k = -2. -2 ≤ -2 This statement is true, so k = -2 is a solution. Check k = -11: Step 2: Check if k = -11 satisfies the inequality. -2 ≤ k Substitute k = -11. -2 ≤ -11 This statement is false, so k = -11 is not a solution. Check k = -8: Step 3: Check if k = -8 satisfies the inequality. -2 ≤ k Substitute k = -8. -2 ≤ -8 This statement is false, so k = -8 is not a solution. Check k = -10: Step 4: Check if k = -10 satisfies the inequality. -2 ≤ k Substitute k = -10. -2 ≤ -10 This statement is false, so k = -10 is not a solution.

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Which of the following is a solution to the inequality below? $\newline$ $-2 \leq k$ $\newline$ Choices: $\newline$ (A) $k = -2$ $\newline$ (B) $k = -11$ $\newline$ (C) $k = -8$ $\newline$ (D) $k = -10$

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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

-2 \leq k

\newline

Choices:

\newline

(A)

k = -2

\newline

(B)

k = -11

\newline

(C)

k = -8

\newline

(D)

k = -10

Check $k = -2$ : Step $1$ : Check if $k = -2$ satisfies the inequality. $-2 \leq k$ Substitute $k = -2$ . $-2 \leq -2$ This statement is true, so $k = -2$ is a solution.
Check $k = -11$ : Step $2$ : Check if $k = -11$ satisfies the inequality. $\newline$ $-2 \leq k$ $\newline$ Substitute $k = -11$ . $\newline$ $-2 \leq -11$ $\newline$ This statement is false, so $k = -11$ is not a solution.
Check $k = -8$ : Step $3$ : Check if $k = -8$ satisfies the inequality. $\newline$ $-2 \leq k$ $\newline$ Substitute $k = -8$ . $\newline$ $-2 \leq -8$ $\newline$ This statement is false, so $k = -8$ is not a solution.
Check $k = -10$ : Step $4$ : Check if $k = -10$ satisfies the inequality. $\newline$ $-2 \leq k$ $\newline$ Substitute $k = -10$ . $\newline$ $-2 \leq -10$ $\newline$ This statement is false, so $k = -10$ is not a solution.