SOLUTION: Ok, I am supposed to solve the follow inequality and then graph it on a number line. Here is the example: (x-5)(x-6)(x-7)greater than or equal to 0. Can you explain in detail how t

Question 343829: Ok, I am supposed to solve the follow inequality and then graph it on a number line. Here is the example: (x-5)(x-6)(x-7)greater than or equal to 0. Can you explain in detail how to work this?
Thank you,
Suzette Ramos
Answer by Fombitz(32388) (Show Source): You can put this solution on YOUR website!
Break the number line up into 4 regions.
Region 1: (,)
Region 2: (,)
Region 3: (,)
Region 4: (,)
Choose a point in each region (not an endpoint).
Test the inequality.
If the inequality is satisfied, that region is part of the solution.
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Region 1:

False, this region is not part of the solution region.
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Region 2:

True, this region is part of the solution region.
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Region 3:

False, this region is not part of the solution region.
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Region 4:

True, this region is part of the solution region.
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Solution:(,) U (,)
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You can verify it graphically by plotting the function and checking the regions where the function is greater than zero (above the x-axis).
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