Question

Solve each inequality and describe what the solutions would look like on a number line. Be sure to include: 1. Where the solution starts 2. If the circle is open or closed 3. The direction the line is shaded 9+x > -11

Answer 1

`x >-20`

Explanation:

Given

`9 + x >-11`

Solving (a): The solution

`9 + x >-11`

Collect like terms

`x >-11-9`

`x >-20`

Solving (b): Illustration on a number line

Where the solution starts

It starts on -20

Open or closed circle

An open circle; because the solution shows greater than

The direction

Greater than means that, the solution is towards the right.

Hence, the direction is right