1) John’s father is the head manager of a company that produces a best selling product. During the most recent computer upgrade, a new production inequality, |-2x - 4| < 12, was added to speed up production. The variable x in the inequality represents the amount of raw material (in kilograms) to make the product.
1)Solve the inequality. Show ALL work
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2)If x represents positive amounts in kilograms, what is the solution set?
3) According to John’s father, only positive integer solutions to the equation can be used and accepted.
How does this change the answer to question number 2? Explain.
I just need an answer please.
Someone please help me out.
1) If x < 0 no sense. We need raw material:
if x < 0 => -2x - 4 < 12 => -2x < 16 => x > -8
if x > 0 => |-2x - 4| = 2x + 4 < 12 => x+2 < 6 => x < 4
-8 < x < 4