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Solve and graph the absolute value inequality: |2x + 4| > 8. number line with open circles on negative 6 and 2, shading in between. number line with closed circles on negative 6 and 2, shading going in the opposite directions. number line with open circles on negative 6 and 2, shading going in the opposite directions. number line with open circles on negative 2 and 2, shading going in the opposite directions.

Kevin Sutter

in Mathematics

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Kevin Sutter on June 27, 2018

|2x+4| > 8 is decomposed into two inequalities: 2x+4 > 8 or 2x+4 < -8Solving 2x+4 > 8 leads to...2x+4 > 82x+4-4 > 8-42x > 42x/2 > 4/2x > 2Solving 2x+4 < -8 leads to...2x+4 < -82x+4-4 < -8-42x < -122x/2 < -12/2x < -6So x > 2 or x < -6you will have 2 open circles at 2 and -6 on the number line. The shaded region will be the region to the left of -6 and to the right of 2. Basically, everything, but between -6 and 2


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