SOLUTION: Solve the inequality and graph on a number line. 7x + 4 ≤ x – 2

Algebra ->  Number-Line -> SOLUTION: Solve the inequality and graph on a number line. 7x + 4 ≤ x – 2      Log On


   

Question 631844: Solve the inequality and graph on a number line.
7x + 4 ≤ x – 2
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
7x%2B4%3C=x-2 Start with the given inequality.


7x%3C=x-2-4 Subtract 4 from both sides.


7x-x%3C=-2-4 Subtract x from both sides.


6x%3C=-2-4 Combine like terms on the left side.


6x%3C=-6 Combine like terms on the right side.


x%3C=%28-6%29%2F%286%29 Divide both sides by 6 to isolate x.


x%3C=-1 Reduce.


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Answer:

So the solution is x%3C=-1


Here's the graph of the solution set (on the number line)



Notice the closed circle is at the endpoint.

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