Solve for xx and graph the solution on the number line below.8, x, is less than, 08x<0
Question
Solve for xx and graph the solution on the number line below.8, x, is less than, 08x<0
Solution
To solve the inequality , follow these steps:
-
Isolate : Divide both sides of the inequality by 8. Simplifying this, we get:
-
Graph the solution on the number line:
- Draw a number line.
- Locate the point 0 on the number line.
- Since , we need to shade all the numbers to the left of 0.
- Use an open circle at 0 to indicate that 0 is not included in the solution.
Here is the number line representation:
<---|---|---|---|---|---|---|---|---|---|--->
-3 -2 -1 0 1 2 3
(open circle at 0)
The shaded region to the left of 0 represents all the values of that satisfy the inequality .
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