interval notation and graph please with steps,

Question

Solve the following inequality. Write the solution set using interval notation and graph the solution set on a number line: 7x-2<5 or 5x-10>5

Answer 1

7X - 2 < 5

 

     7X < 7

 

      X < 1

 

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5X - 10 > 5

 

      5X > 15

 

       X > 3

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Putting these together: 

 

     1 > X > 3

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Graphing: put an open circle on 1 and draw

                a line to the left, arrow on end

 

               put an open circle on 3 and draw

               a line to the right, arrow on end