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3 years ago

Solve and graph the absolute value inequality: |2x + 4| > 8

Mathematics

1 answer:

neonofarm [45]3 years ago

4 0

Answer:

Step-by-step explanation:

To get rid of the absolute value bars you have to get two different equations which would be 2x+4>-8 AND 2x+4>8. Pay attention to the signs, if there is greater than or equal to then it would have a line underneath the sign, which neither of the equations should have since you haven't moved a negative. solve normally and you'll get -6 blank circle and 2 blank circle.

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Answer:

$\huge\boxed{B.\ T>-72}$

Step-by-step explanation:

$\dfrac{T}{4}+8>-10\qquad|\text{subtract 8 from both sides}\\\\\dfrac{T}{4}+8-8>-10-8\\\\\dfrac{T}{4}>-18\qquad|\text{multiply both sides by 4}\\\\4\!\!\!\!\diagup\cdot\dfrac{T}{4\!\!\!\!\diagup}>(4)(-18)\\\\T>-72$

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Solve and graph the absolute value inequality: |2x + 4| > 8​

Solve and graph the absolute value inequality: |2x + 4| > 8