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35. solve for ( x ) and graph the solution on the number line below. ( …

Question

  1. solve for ( x ) and graph the solution on the number line below.

( 80 < 10x )

Explanation:

Step1: Isolate x by dividing by 10

$\frac{80}{10} < \frac{10x}{10}$

Step2: Simplify both sides

$8 < x$ or $x > 8$

Step3: Graph setup on number line

  • Draw an open circle at $x=8$ (since 8 is not included in the solution)
  • Draw an arrow pointing to the right from 8 to represent all numbers greater than 8

Answer:

The solution is $x > 8$.
For the number line:

  1. Place an open circle at the mark labeled 8.
  2. Draw a solid arrow starting at the open circle and extending to the right along the number line, covering all values greater than 8.