Solve for xx and graph the solution on the number line below.

Question

minus, 10, x, is greater than, 80
−10x>
80

Answer 1

To solve for the variable x in the inequality -10x > 80, we would follow these steps:

Step 1: Divide both sides of the inequality by -10.

-10x / -10 > 80 / -10

This simplifies to:

x < -8

Note the direction of the inequality symbol: when dividing or multiplying both sides of an inequality by a negative number, the direction of the inequality changes.

Now let's graph the solution x < -8 on a number line.

To represent this graphically, you would draw a number line, locate the point -8 on it, and draw an open circle at -8 to indicate that -8 is not included in the solution. Then shade the line to the left of -8 to show that the solution includes all numbers less than -8.

Here is a description of how the graph would look:

---(---(-8)------------>
x < -8

In the graph:
- The open circle at -8 indicates that -8 is not a part of the solution.
- The shaded line to the left represents all the values that x can take, which are less than -8.