SOLUTION: Please help with interval notation and graph! -(x-4) is greater than or equal to 4. also, -3x is greater than 9 or 4x is greater than 12

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Question 623715: Please help with interval notation and graph! -(x-4) is greater than or equal to 4. also, -3x is greater than 9 or 4x is greater than 12
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
 

Hi,  

 -(x-4) ≥ 4  OR  

  x-4 ≤ -4   |Note: change of the direction of the Inequality when multiplying thru by -1

    x ≤ 0

 -3x > 9     OR  

   x < -3    |Note: change of the direction of the Inequality when dviding thru by -3

 4x > 12  

  x > 3      |Multiplying or dividing thru with a positve number does NOT change the direction of the Inequality