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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

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Solution

To solve the inequality 8x<08x < 0, follow these steps:

  1. Isolate xx: Divide both sides of the inequality by 8. 8x8<08 \frac{8x}{8} < \frac{0}{8} Simplifying this, we get: x<0 x < 0

  2. Graph the solution on the number line:

    • Draw a number line.
    • Locate the point 0 on the number line.
    • Since x<0x < 0, 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 xx that satisfy the inequality x<0x < 0.

This problem has been solved

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