SOLUTION: . Solve the nonlinear inequality: (x−1)(x−3)(x−5)2 ≥ 0 Solve by marking zeros and undefined points on a number line and checking signs in the interva

Algebra ->  Linear-equations -> SOLUTION: . Solve the nonlinear inequality: (x−1)(x−3)(x−5)2 ≥ 0 Solve by marking zeros and undefined points on a number line and checking signs in the interva      Log On


   

Question 833280: . Solve the nonlinear inequality: (x−1)(x−3)(x−5)2 ≥ 0 Solve by marking zeros and
undefined points on a number line and checking signs in the intervals created as in the
examples in the narrative. Express your answer in interval notation.
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
+graph%28+300%2C+300%2C+-2%2C+10%2C+-6%2C+6%2C+%28x-1%29%28x-3%29%28x-5%29%29+
The zeros are 1,3, and 5.
Choose a point in each region and test it in the inequality.
x%3C1, x=0, %280-1%29%280-3%29%280-5%29%3E=0,-15%3E=0,False
1%3Cx%3C3, x=2,%282-1%29%282-3%29%282-5%29%3E=0,3%3E=0,True
3%3Cx%3C5, x=4,%284-1%29%284-3%29%284-5%29%3E=0,-3%3E=0,False
x%3E5 ,x=6,%286-1%29%286-3%29%286-5%29%3E=0,15%3E=0,True
You can also look at the graph and see when it is above the y-axis.