Question

5. 2x > 7 a. -9 b. 0 c. 4 d. 9

Answer 1

The correct answer is: c.
`\(4\) is greater than \((7)/(2)\)`, so it satisfies the inequality.

Solution:

To solve the inequality
`\(2x > 7\)`, follow these steps:

1. Divide by 2 (both sides):

`\[(2x)/(2) > (7)/(2)\] \[x > (7)/(2)\]`

Now, the inequality is
`\(x > (7)/(2)\)`. Let's compare this with the answer choices:

a. -9:
`\(-9\)` is not greater than
`\((7)/(2)\)`, so it does not satisfy the inequality.

b. 0:
`\(0\)` is not greater than
`\((7)/(2)\)` , so it does not satisfy the inequality.

c. 4:
`\(4\)` is greater than
`\((7)/(2)\)`, so it satisfies the inequality.

d. 9:
`\(9\)` is greater than
`\((7)/(2)\)`, so it satisfies the inequality.

Therefore, the correct answer is: c. 4

The probable question can be: 5. Solve the inequality for
`x: \(2x > 7\)`. Which of the following values is a solution to the inequality?

a. -9

b. 0

c. 4

d. 9