Which of the following values are solutions to the inequality 1-2x > 5? I. -5 II. -2 III. -8 None I only II only III only I and II I and III II and III I, II and III

Simplify the inequality: Start by simplifying the inequality 1 - 2x > 5 to isolate the variable x. Subtract 1 from both sides of the inequality to get -2x > 4.Divide by -2: Now, divide both sides of the inequality by -2 to solve for x. Remember that dividing by a negative number reverses the inequality sign. So, -2x / -2 < 4 / -2 gives us x < -2.Test given values: Test each of the given values to see if they satisfy the inequality x < -2. I. For x = -5, check if -5 < -2. This is true. II. For x = -2, check if -2 < -2. This is false because -2 is not less than -2. III. For x = -8, check if -8 < -2. This is true.Conclusion: Based on the tests in Step 3, we can conclude that the values -5 and -8 satisfy the inequality x < -2, but -2 does not. Therefore, the correct answer is ＂I and III＂.

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Which of the following values are solutions to the inequality
1-2x > 5?
I. -5
II. -2
III. -8
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 1-2 x>5 ? $\newline$ I. $-5$ $\newline$ II. $-2$ $\newline$ III. $-8$ $\newline$ 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

Algebra 1

Does (x, y) satisfy the inequality?

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

1-2 x>5 ?

\newline

-5

\newline

II.

-2

\newline

III.

-8

\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

Simplify the inequality: Start by simplifying the inequality 1 - 2x > 5 to isolate the variable $x$ . Subtract $1$ from both sides of the inequality to get -2x > 4.
Divide by $-2$ : Now, divide both sides of the inequality by $-2$ to solve for $x$ . Remember that dividing by a negative number reverses the inequality sign. So, -2x / -2 < 4 / -2 gives us x < -2.
Test given values: Test each of the given values to see if they satisfy the inequality x < -2. $\newline$ I. For $x = -5$ , check if -5 < -2. This is true. $\newline$ II. For $x = -2$ , check if -2 < -2. This is false because $-2$ is not less than $-2$ . $\newline$ III. For $x = -8$ , check if -8 < -2. This is true.
Conclusion: Based on the tests in Step $3$ , we can conclude that the values $-5$ and $-8$ satisfy the inequality x < -2, but $-2$ does not. Therefore, the correct answer is ＂I and III＂.