6. Solve $$ -6 x-18+ $$ graph the solution set

Question

6. Solve $$ -6 x>-18+ $$ graph the solution set

UpStudy AI · Accepted Answer

1. Start with the inequality:
   $$
   -6x > -18
   $$

2. Divide both sides by $$-6$$. Remember that when dividing or multiplying an inequality by a negative number, the inequality sign reverses:
   $$
   x < \frac{-18}{-6}
   $$

3. Simplify the fraction:
   $$
   x < 3
   $$

4. The solution to the inequality is:
   $$
   x < 3
   $$

5. To graph the solution set on a number line:
   - Draw a horizontal line.
   - Mark the point $$3$$ and use an open circle at $$3$$ to indicate that $$3$$ is not included in the solution.
   - Shade the portion of the line to the left of $$3$$ to represent all values less than $$3$$.
The solution to the inequality is $$ x < 3 $$. To graph it, draw a number line, place an open circle at 3, and shade the area to the left of 3.

6. Solve \( -6 x>-18+ \) graph the solution set

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