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Which of the following are solutions to the inequality below? Select all that apply. $\newline$ $6 > w$ $\newline$ Multi-select Choices: $\newline$ (A) $w = 4$ $\newline$ (B) $w = 3$ $\newline$ (C) $w = 6$ $\newline$ (D) $w = 7$

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Identify solutions to inequalities

Full solution

Q. Which of the following are solutions to the inequality below? Select all that apply.

\newline

6 > w

\newline

Multi-select Choices:

\newline

(A)

w = 4

\newline

(B)

w = 3

\newline

(C)

w = 6

\newline

(D)

w = 7

Understand the inequality: Understand the inequality $6 > w$ What does this inequality represent? $6 > w$ means that $w$ must be less than $6$ .
Check options for $w=4$ : Check each option to see if it satisfies the inequality $6 > w$ . $\newline$ (A) $w = 4$ $\newline$ Is $4$ less than $6$ ? Yes, $4$ is less than $6$ .
Check options for $w=3$ : Check the next option. $\newline$ (B) $w = 3$ $\newline$ Is $3$ less than $6$ ? Yes, $3$ is less than $6$ .
Check options for $w=6$ : Check the next option. $\newline$ (C) $w = 6$ $\newline$ Is $6$ less than $6$ ? No, $6$ is not less than $6$ , it is equal to $6$ .
Check options for $w=7$ : Check the last option. $\newline$ (D) $w = 7$ $\newline$ Is $7$ less than $6$ ? No, $7$ is not less than $6$ , it is greater than $6$ .

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