Which of the following values are solutions to the inequality -8-6x < -3 ? {:[" I. "3," II. "-9," III. "2]:} None I only II only III only I and II I and III II and III I, II and III

Solve Inequality for x: Solve the inequality for x. Start with the inequality -8 - 6x 5 / -6 x > -5/6Test Given Values: Test the given values to see if they satisfy the inequality x > -5/6. I. Test x = 3. 3 > -5/6 is true. II. Test x = -9. -9 > -5/6 is false. III. Test x = 2. 2 > -5/6 is true.Determine Correct Choices: Determine which of the given choices match the true statements from Step 2. Since x = 3 and x = 2 are both solutions to the inequality x > -5/6, but x = -9 is not, the correct choices are I and III.

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Which of the following values are solutions to the inequality
-8-6x < -3 ?

{:[" I. "3," II. "-9," III. "2]:}
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 -8-6 x<-3 ? $\newline$ $\begin{array}{lll}\text { I. } 3 & \text { II. }-9 & \text { III. } 2\end{array}$ $\newline$ 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

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

-8-6 x<-3

\newline

\begin{array}{lll}\text { I. } 3 & \text { II. }-9 & \text { III. } 2\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 Inequality for x: Solve the inequality for x. $\newline$ Start with the inequality -8 - 6x < -3. $\newline$ Add $8$ to both sides to isolate the term with $x$ on one side. $\newline$ -8 - 6x + 8 < -3 + 8 $\newline$ -6x < 5 $\newline$ Now, divide both sides by $-6$ . Remember that dividing by a negative number reverses the inequality sign. $\newline$ -6x / -6 > 5 / -6 $\newline$ x > -5/6
Test Given Values: Test the given values to see if they satisfy the inequality x > -\frac{5}{6}. $\newline$ I. Test $x = 3$ . $\newline$ 3 > -\frac{5}{6} is true. $\newline$ II. Test $x = -9$ . $\newline$ -9 > -\frac{5}{6} is false. $\newline$ III. Test $x = 2$ . $\newline$ 2 > -\frac{5}{6} is true.
Determine Correct Choices: Determine which of the given choices match the true statements from Step $2$ . $\newline$ Since $x = 3$ and $x = 2$ are both solutions to the inequality x > -\frac{5}{6}, but $x = -9$ is not, the correct choices are I and III.