Which of the following values are solutions to the inequality 7 < x-8 ? I. 21 II. 15 III. 23 None I only II only III only I and II I and III II and III I, II and III

Understand the inequality: Understand the inequality. The inequality given is 7 < x - 8. This means we are looking for values of x that, when 8 is subtracted from them, are greater than 7.Solve for x: Solve the inequality for x. Add 8 to both sides of the inequality to isolate x. 7 15, so 21 is a solution. II. 15 15 is not greater than 15, so 15 is not a solution. III. 23 23 > 15, so 23 is a solution.Determine correct choices: Determine which of the given choices correctly lists the solutions to the inequality. Since 21 and 23 are solutions, but 15 is not, the correct choice is ＂I and III＂.

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Which of the following values are solutions to the inequality \( 7

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Math Problems

Grade 8

Solutions to inequalities

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Q. Which of the following values are solutions to the inequality

7<x-8

\newline

21

\newline

II.

15

\newline

III.

23

\newline

None

\newline

I only

\newline

II only

\newline

III only

\newline

I and II

\newline

I and III

\newline

II and III

\newline

I, II and III

Understand the inequality: Understand the inequality. $\newline$ The inequality given is 7 < x - 8. This means we are looking for values of $x$ that, when $8$ is subtracted from them, are greater than $7$ .
Solve for x: Solve the inequality for $x$ . Add $8$ to both sides of the inequality to isolate $x$ . 7 < x - 8 7 + 8 < x - 8 + 8 15 < x This means that any value of $x$ that is greater than $15$ is a solution to the inequality.
Check solutions: Check each of the given values to see if they are solutions to the inequality. $\newline$ I. $21$ $\newline$ 21 > 15, so $21$ is a solution. $\newline$ II. $15$ $\newline$ $15$ is not greater than $15$ , so $15$ is not a solution. $\newline$ III. $23$ $\newline$ 23 > 15, so $23$ is a solution.
Determine correct choices: Determine which of the given choices correctly lists the solutions to the inequality. $\newline$ Since $21$ and $23$ are solutions, but $15$ is not, the correct choice is ＂I and III＂.