Solve and graph on number line

-2/3x<8

go to

http://www.wolframalpha.com/input/?i=-2%2F3x%3C8

and scroll down a bit

To solve the inequality -2/3x < 8, we need to isolate x. Here's how to do it:

1. Multiply both sides of the inequality by the reciprocal of -2/3, which is -3/2. Remember that when you multiply or divide an inequality by a negative number, you need to flip the inequality sign.
(-2/3x) * (-3/2) > 8 * (-3/2)
Simplifying, we have:
x > -12

So, the solution to the inequality is x > -12.

To graph this solution on a number line, follow these steps:

1. Draw a number line and mark a point at -12. You can label it as -12.

2. Since the solution is x is greater than -12, we need to shade the portion of the number line to the right of -12.

3. Indicate the shaded region by drawing a horizontal line to the right of -12, starting from the point you marked.

The resulting graph should show a shaded region to the right of -12 on the number line.