Which of the following values are solutions to the inequality x-2 >= 6? {:[" I. "8," II. "9," III. "1]:} None I only II only III only I and II I and III II and III I, II and III

Solve for x: Solve the inequality for x. We start by adding 2 to both sides of the inequality to isolate x. x - 2 + 2 >= 6 + 2 x >= 8Check x values: Check if each provided value is a solution to the inequality x >= 8. I. For x = 8: 8 >= 8 This is true.Check x=8: Check the second value. II. For x = 9: 9 >= 8 This is also true.Check x=9: Check the third value. III. For x = 1: 1 >= 8 This is false.Check x=1: Determine which of the provided values are solutions to the inequality. From the checks above, we see that I (x = 8) and II (x = 9) are solutions to the inequality, but III (x = 1) is not.

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Which of the following values are solutions to the inequality
x-2 >= 6?

{:[" I. "8," II. "9," III. "1]:}
None
I only
II only
III only
I and II
I and III
II and III
I, II and III

Which of the following values are solutions to the inequality $x-2 \geq 6 ?$ $\newline$ $\begin{array}{lll}\text { I. } 8 & \text { II. } 9 & \text { III. } 1\end{array}$ $\newline$ 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

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Math Problems

Grade 8

Solutions to inequalities

Full solution

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

x-2 \geq 6 ?

\newline

\begin{array}{lll}\text { I. } 8 & \text { II. } 9 & \text { III. } 1\end{array}

\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

Solve for x: Solve the inequality for x. $\newline$ We start by adding $2$ to both sides of the inequality to isolate x. $\newline$ $x - 2 + 2 \geq 6 + 2$ $\newline$ $x \geq 8$
Check $x$ values: Check if each provided value is a solution to the inequality $x \geq 8$ . $\newline$ I. For $x = 8$ : $\newline$ $8 \geq 8$ $\newline$ This is true.
Check $x=8$ : Check the second value. $\newline$ II. For $x = 9$ : $\newline$ $9 \geq 8$ $\newline$ This is also true.
Check $x=9$ : Check the third value. $\newline$ III. For $x = 1$ : $\newline$ $1 \geq 8$ $\newline$ This is false.
Check $x=1$ : Determine which of the provided values are solutions to the inequality. $\newline$ From the checks above, we see that I ( $x = 8$ ) and II ( $x = 9$ ) are solutions to the inequality, but III ( $x = 1$ ) is not.