Question 141870: Solve. Then Graph.
7x >_ 63 (The _ is supposed to be under the >)
Would the solution be {xlx<9} ?? AND
the graph be a hollow circle on the 9 and and arrow towards the numbers higher than 9? Am I even close?
Answer by rapaljer(4671)   (Show Source):
You can put this solution on YOUR website! When you solve an inequality by dividing both sides by a POSITIVE number, the inequality sign remains the same. When you divide by a NEGATIVE number, the inequality sign must be reversed. In this case, you divided by a POSITIVE number, so the inequality sign stays the same.
This means go to 9 on the right side of the numberline, and from 9, shade the number line from 9 to the RIGHT, with an arrow pointing to the right towards number larger than 9. Use a SOLID circle on the point at the 9.
The solution will be { x| }.
For a more detailed explanation, see my own website by clicking on my tutor name "rapaljer" anywhere in algebra.com. Click on the second link on my homepage, which is "Basic, Intermediate, and College Algebra: One Step at a Time." Click on Basic Algebra, and choose Chapter 1. Problems like this one will be found in Section 1.11 Inequalities. Students tell me that my explanations are easier to understand than expensive, traditional textbooks.
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