Question

State if the given graph is correct. If not, explain how you would change it. (Photo is attached) PLS HELP

Answer 1

Answer: The graph is not correct

See explanation below.

Let's solve for x.

`3\text{x} - 2(\text{x}+4) \ge 3\text{x}-(4\text{x}+9)\\\\3\text{x} - 2\text{x}-8 \ge 3\text{x}-4\text{x}-9\\\\\text{x}-8 \ge -\text{x}-9\\\\\text{x}+\text{x} \ge -9+8\\\\2\text{x} \ge -1\\\\\text{x} \ge -1/2\\\\`

The inequality sign does not flip because we didn't divide both sides by a negative number.

To graph this on a number line we do two things:

• Plot a closed filled in circle at -1/2 on the number line. This is exactly halfway between -1 and 0.
• Shade to the right of the filled in circle to represent values that x = -1/2 or x > -1/2.

The graph is shown below.