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| Question 99397:  could  you  please  solve  the  inequality
  Write the answer in set notation and interval notation.
 Answer by stanbon(75887)
      (Show Source): 
You can put this solution on YOUR website! solve  the  inequality  Write the answer in set notation and interval notation.
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 Solve the EQUALITY:
 x = -2, x=1, x=3
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 Draw a number line.
 Mark x=-2, x=1, and x=3 on the line.
 They divide the line into four intervals.
 Look for solutions for the INEQUALITY in each of the intervals.
 Do this by inserting a test value into (x+2)(x-1)(x-3)<0:
 In (-inf,-2)select x=-3; you get -*-*- <0 so there are solutions here
 In (-2,1) select x=0; you get +*-*->0 so no solutions here
 In (1,3) select x=2; you get +*+*-<0 so solutions here
 In (3,+inf) select x=4; you get +*+*+>0 so no solutions here
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 Final answer:
 Interval notation: [-2,1] or [1,3]
 Set notation: {x|-2<=x<=1}U{x|1<=x<=}
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 Cheers,
 Stan H.
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