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Which of the following is a solution to the inequality below? $\newline$ $j<8$ $\newline$ Choices: $\newline$ (A) $j=5$ $\newline$ (B) $j=8$ $\newline$ (C) $j=12$ $\newline$ (D) $j=4$

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Identify solutions to inequalities

Full solution

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

\newline

j<8

\newline

Choices:

\newline

(A)

j=5

\newline

(B)

j=8

\newline

(C)

j=12

\newline

(D)

j=4

Understand the inequality: Understand the inequality $j < 8$ $\newline$ What does this inequality represent? $\newline$ $j < 8$ means that $j$ must be a number less than $8$ .
Evaluate choices: Evaluate the choices to find which one satisfies the inequality $j < 8$ . $\newline$ (A) $j=5$ : Check if $5$ is less than $8$ . $\newline$ $5 < 8$ is true.
Check solution for $j=5$ : Since $5$ is less than $8$ , choice (A) $j=5$ is a solution to the inequality. $\newline$ However, we should check all options to ensure we identify all possible solutions.
Check solution for $j=8$ : Evaluate choice (B) $j=8$ . $\newline$ Check if $8$ is less than $8$ . $\newline$ $8 < 8$ is not true, since $8$ is equal to $8$ , not less than it.
Check solution for $j=12$ : Evaluate choice (C) $j=12$ . $\newline$ Check if $12$ is less than $8$ . $\newline$ $12 < 8$ is not true, since $12$ is greater than $8$ .
Check solution for $j=4$ : Evaluate choice (D) $j=4$ . $\newline$ Check if $4$ is less than $8$ . $\newline$ $4 < 8$ is true.
Identify possible solutions: Since $4$ is less than $8$ , choice (D) $j=4$ is also a solution to the inequality. $\newline$ Now we have identified two possible solutions: (A) $j=5$ and (D) $j=4$ .

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