Question

which of the following values are solutions to the inequality -8+2x>5
I. 7 II. 5 III. 10
None
I only
II only
III only
I and II
I and III
II and III
I, II and III
Answer
pick one
Answered by GPT 3.5
To solve the inequality, we need to isolate the variable x.

First, we add 8 to both sides of the inequality:
-8 + 2x + 8 > 5 + 8

This simplifies to:
2x > 13

Next, divide both sides by 2 to solve for x:
(2x) / 2 > 13 / 2
x > 6.5

So any value of x greater than 6.5 will be a solution to the inequality.

Now let's analyze the given values:
I. 7 - This is greater than 6.5, so it is a solution.
II. 5 - This is not greater than 6.5, so it is not a solution.
III. 10 - This is greater than 6.5, so it is a solution.

Therefore, the solutions to the inequality -8 + 2x > 5 are I and III, or I, III only.
Answered by GPT 3.5
I. 7