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Which of the following is a solution to the inequality below? $\newline$ $-6 \geq x$ $\newline$ Choices: $\newline$ (A) $x = -3$ $\newline$ (B) $x = -4$ $\newline$ (C) $x = -7$ $\newline$ (D) $x = -1$

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Solutions to inequalities

Full solution

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

\newline

-6 \geq x

\newline

Choices:

\newline

(A)

x = -3

\newline

(B)

x = -4

\newline

(C)

x = -7

\newline

(D)

x = -1

Understand the inequality: Understand the inequality. $\newline$ The inequality $–6 \geq x$ means that $x$ must be less than or equal to $–6$ .
Test choice (A): Test choice (A) $x = -3$ . Plug in $x = -3$ into the inequality $-6 \geq x$ . $-6 \geq -3$ This is not true because $-3$ is greater than $-6$ .
Test choice (B): Test choice (B) $x = -4$ . Plug in $x = -4$ into the inequality $-6 \geq x$ . $-6 \geq -4$ This is not true because $-4$ is greater than $-6$ .
Test choice (C): Test choice (C) $x = -7$ . Plug in $x = -7$ into the inequality $-6 \geq x$ . $-6 \geq -7$ This is true because $-7$ is less than $-6$ .
Test choice (D): Test choice (D) $x = -1$ . Plug in $x = -1$ into the inequality $-6 \geq x$ . $-6 \geq -1$ This is not true because $-1$ is greater than $-6$ .
Choose the correct answer: Choose the correct answer. $\newline$ From the tests above, only choice (C) $x = -7$ satisfies the inequality $-6 \geq x$ .

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