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Which of the following is a solution to the inequality below? $\newline$ $b>3$ $\newline$ Choices: $\newline$ (A) $b=7$ $\newline$ (B) $b=2$ $\newline$ (C) $b=3$ $\newline$ (D) $b=5$

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Identify solutions to inequalities

Full solution

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

\newline

b>3

\newline

Choices:

\newline

(A)

b=7

\newline

(B)

b=2

\newline

(C)

b=3

\newline

(D)

b=5

Understand the inequality: Understand the inequality $b > 3$ . The inequality $b > 3$ means that $b$ must be greater than $3$ .
Evaluate choices: Evaluate the choices to see which one satisfies the inequality $b > 3$ . $\newline$ (A) $b = 7$ is greater than $3$ . $\newline$ (B) $b = 2$ is not greater than $3$ . $\newline$ (C) $b = 3$ is not greater than $3$ , it is equal to $3$ . $\newline$ (D) $b = 5$ is greater than $3$ .
Determine correct choice: Determine the correct choice. $\newline$ From Step $2$ , we can see that both choices (A) $b = 7$ and (D) $b = 5$ satisfy the inequality $b > 3$ . However, we need to choose the one that is provided as an option in the question prompt.
Select final answer: Select the final answer. $\newline$ Since both (A) $b = 7$ and (D) $b = 5$ are greater than $3$ , they are both correct solutions to the inequality. However, we need to choose one answer. The question does not specify that we need to choose the smallest or largest solution, so any of the correct options will suffice. We can choose (A) $b = 7$ as the final answer.

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