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(x^2-3x+4)(x+1)(x-2)>=0?

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(x^2-3x+4)(x+1)(x-2)>=0?

asked Feb 9, 2015 in ALGEBRA 2 by anonymous

1 Answer

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Step 1:

The inequality is image.

Find the values of for image.

Find the values of for image.

Solutions of for quadratic equation image is image.

image

The solutions of image are imaginary, so we do not consider it.

Step 2:

image

Case I)

If both the factors are positive.

image

The statement is true for image.

Case II)

If both the factors are negative.

image

The statement is true for image.

image for all values of image and image.

Solutions of image is all values of for image and image.

Solution:

Solutions of image is all values of for image and image.

answered Feb 9, 2015 by Lucy Mentor
edited Feb 9, 2015 by Lucy

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