SOLUTION: How do you graph -3x < -6 or x + 5 < -2?

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Question 151739: How do you graph -3x < -6 or x + 5 < -2?

Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

Let's solve the first inequality -3x%3C-6:


-3x%3C-6 Start with the first inequality.


x%3E%28-6%29%2F%28-3%29 Divide both sides by -3 to isolate x. note: Remember, the inequality sign flips when we divide both sides by a negative number.


x%3E2 Reduce.


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Now let's solve the second inequality x%2B5%3C-2:


x%2B5%3C-2 Start with the second inequality.


x%3C-2-5 Subtract 5 from both sides.


x%3C-7 Combine like terms on the right side.


So our answer is x%3E2 or x%3C-7




So the solution in interval notation is: () ()


So the solution in set notation is:




Here's the graph of the solution set




Note:
There is an open circle at x=-7 which means that we're excluding that value from the solution set.


Also, there is an open circle at x=2 which means that we're excluding that value from the solution set.