Which of the following values are solutions to the inequality 10-2x < 2 ? I. 6 II. 10 III. 4 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 10 - 2x -8 / -2 x > 4Check Solutions: Check which of the given values are greater than 4. I. 6 is greater than 4, so it is a solution. II. 10 is greater than 4, so it is a solution. III. 4 is not greater than 4, it is equal to 4, so it is not a solution.Choose Correct Answer: Choose the correct answer based on the solutions found in Step 2. The values that are solutions to the inequality x > 4 are I (6) and II (10). III (4) is not a solution because the inequality requires x to be greater than 4, not equal to it. The correct answer is ＂I and II＂.

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Math Problems

Grade 8

Solutions to inequalities

Full solution

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

10-2 x<2

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6

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II.

10

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III.

4

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None

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I only

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II only

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III only

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I and II

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I and III

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II and III

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I, II and III

Solve Inequality for x: Solve the inequality 10 - 2x < 2 for x. $\newline$ Subtract $10$ from both sides of the inequality to isolate the term with $x$ . $\newline$ 10 - 2x - 10 < 2 - 10 $\newline$ -2x < -8 $\newline$ Now, divide both sides by $-2$ to solve for $x$ . Remember that dividing by a negative number reverses the inequality sign. $\newline$ -2x / -2 > -8 / -2 $\newline$ x > 4
Check Solutions: Check which of the given values are greater than $4$ . $\newline$ I. $6$ is greater than $4$ , so it is a solution. $\newline$ II. $10$ is greater than $4$ , so it is a solution. $\newline$ III. $4$ is not greater than $4$ , it is equal to $4$ , so it is not a solution.
Choose Correct Answer: Choose the correct answer based on the solutions found in Step $2$ . $\newline$ The values that are solutions to the inequality x > 4 are I ( $6$ ) and II ( $10$ ). III ( $4$ ) is not a solution because the inequality requires $x$ to be greater than $4$ , not equal to it. $\newline$ The correct answer is ＂I and II＂.