SOLUTION: Can someone please help me solve and graph the inequality and graph the solution. -8x - 2 (greater than or equal to) - 7x - 12

Algebra ->  Inequalities -> SOLUTION: Can someone please help me solve and graph the inequality and graph the solution. -8x - 2 (greater than or equal to) - 7x - 12      Log On


   

Question 201220: Can someone please help me solve and graph the inequality and graph the solution.
-8x - 2 (greater than or equal to) - 7x - 12
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
-8x-2%3E=-7x-12 Start with the given inequality.


-8x%3E=-7x-12%2B2 Add 2 to both sides.


-8x%2B7x%3E=-12%2B2 Add 7x to both sides.


-x%3E=-12%2B2 Combine like terms on the left side.


-x%3E=-10 Combine like terms on the right side.


x%3C=%28-10%29%2F%28-1%29 Divide both sides by -1 to isolate x. note: Remember, the inequality sign flips when we divide both sides by a negative number.


x%3C=10 Reduce.


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Answer:

So the solution is x%3C=10



So the answer in interval notation is (]



Also, the answer in set-builder notation is


Here's the graph of the solution set on a number line:



Note: there is a CLOSED circle at the endpoint.