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
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.
pick one
I. 7
To determine which values are solutions to the inequality -8 + 2x > 5, we can solve it step by step:
1. Start with the original inequality: -8 + 2x > 5.
2. Add 8 to both sides of the inequality: -8 + 2x + 8 > 5 + 8.
Simplifying, we get: 2x > 13.
3. Divide both sides of the inequality by 2 (since the coefficient of x is 2): (2x) / 2 > 13 / 2.
Simplifying, we get: x > 6.5.
Now we can determine which values from the given options satisfy this inequality.
I. 7: Since 7 is greater than 6.5, it satisfies the inequality.
II. 5: Since 5 is not greater than 6.5, it does not satisfy the inequality.
III. 10: Since 10 is greater than 6.5, it satisfies the inequality.
From the options, the values that satisfy the inequality are I (7) and III (10). Therefore, the answer is:
I and III.