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Which of the following is a solution to the inequality below? $\newline$ $x \geq -2$ $\newline$ Choices: $\newline$ (A) $x = -1$ $\newline$ (B) $x = -4$ $\newline$ (C) $x = -5$ $\newline$ (D) $x = -6$

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Solutions to inequalities

Full solution

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

\newline

x \geq -2

\newline

Choices:

\newline

(A)

x = -1

\newline

(B)

x = -4

\newline

(C)

x = -5

\newline

(D)

x = -6

Understand Inequality: Understand the inequality $x \geq -2$ . This inequality means that $x$ can be any number greater than or equal to $-2$ .
Evaluate Choices: Evaluate each choice to see if it satisfies the inequality. $\newline$ Start with choice (A) $x = -1$ . $\newline$ Check if $-1 \geq -2$ . $\newline$ Since $-1$ is greater than $-2$ , $-1$ satisfies the inequality.
Check Solution: Since we have found a solution, we do not need to check the other options. $\newline$ However, for completeness, let's quickly check them. $\newline$ Choice (B) $x = -4$ does not satisfy the inequality because $-4$ is less than $-2$ . $\newline$ Choice (C) $x = -5$ does not satisfy the inequality because $-5$ is less than $-2$ . $\newline$ Choice (D) $x = -6$ does not satisfy the inequality because $-6$ is less than $-2$ .

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