Question

Examine the inequality and its graph. Which values are part of the solution set? Check all that apply.

Answer 1

Answer: 3 and -1/2.

Explanation:

You can represent any linear inequality using any of the following forms:

`x > b`

`x < b`

`x \geq b`

`x\leq b`

When the sign is pointing towards x, it means that x is greater than b.

The line under the greater sign means that x can also equal b.

In your case, b is -4., as that is the point at which numbers are no longer part of the set. An open dot over -4 is a way to represent that -4 is not a part of the solution - so x cannot equal -4.

The options given:

• 3: is greater than -4
• -5: is not greater than -4
• -1/2: is greater than -4
• -4.5: is not greater than -4
• -4: is not greater than -4.

So, your solutions are 3 and -1/2.

Answer 2

A

c

Explanation: