preston solved an inequality and graphed

Answer 1

it on a number line. The inequality is represented by the symbol "<" or ">" and the graph is a line or a shaded region on the number line.

For example, let's say Preston solved the inequality 3x + 5 > 10. To graph this inequality, first, simplify it:

3x + 5 > 10
3x > 10 - 5
3x > 5

Next, divide both sides by 3 to solve for x:

x > 5/3

Now, Preston can graph this inequality on a number line. Since the symbol is ">", the line will be open on the number line. He will place a circle at 5/3 and draw an arrow to the right, indicating that all values greater than 5/3 satisfy the inequality. The shaded region will be on the right side of the circle.

The graph of the solved inequality would look like this:

--------------o---------->

This means that all values to the right of 5/3 on the number line make the original inequality true.