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What? Dont understand... Help anyone Solve: |5x + 2| + 7 < 19 A. x < 2 and x > -14/5 B. x < 2 and x < -14/5 C. x > 2 and x > 14/5 D. x > 2

Mathematics
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|5x + 2| + 7 < 19 |5x + 2| < 19 - 7 |5x + 2| < 12 -12 < 5x + 2 < 12 -12 - 2 < 5x < 12 - 2 -14 < 5x < 10 Divide all sides by 5 to finish
so b)?
first solve the problem assuming that the part in the absolute value brackets is positive. so 5x+2+7<19. to solve for x, subtract 7 and 2 from both sides. so 5x<10. then divide by 5. x<2. then assume that the part in absolute value brackets is negative and solve for x. -5x-2+7<19. -5x<14 whenever you divide by a negative, switch the inequality sign so x>-14/5

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Other answers:

Not b bro. Make sure you are paying close attention to the signs. Don't confuse yourself @jackyluvv @oddfishout, no need to divide by a negative for this one.
why not.... -(5x+2)= -5x-2....right....
Bro |5x + 2| = 5x + 2 Don't use negatives when you don't need to
Dude. We got the same answers, just differently... no biggy. To each his own.
Yeah, but you did yours the hard way. I am not in agreement with your strategy.
so....that is totally okay with me. But it doesn't make me wrong.
All you need to remember is this rule for absolute value: |x + a| < c means the same as -c < x + a < c

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