Solve and graph the absolute value inequality: |2x + 4| > 14

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asked Apr 3, 2015 217k views

2 votes

Solve and graph the absolute value inequality: |2x + 4| > 14

Mathematics
high-school

Thiago Peres asked

by Thiago Peres

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2 Answers

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|2x + 4| > 14
2x+ 4 = 14 2x + 4 = -14
x = 5 or x = - 9
2*5 = 10 +4 = 14 Yes
2*-9 = -18 + 4 = - 14 Yes
2x > 10 2x < - 18
X > 5
X < -9

Leafmeal answered Apr 5, 2015

by Leafmeal

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$|2x+4| > 14\\\\2x+4 > 14\ \vee\ 2x+4 < -14\\\\2x > 14-4\ \vee\ 2x < -14-4\\\\2x > 10\ \vee\ 2x < -18\\\\x > 5\ \vee\ x < -9\\\\see\ a\ picture\\\\x\in(-\infty;-9)\ \cup\ (5;\ \infty)$

Solve and graph the absolute value inequality: |2x + 4| > 14-example-1

Cybercop answered Apr 8, 2015

by Cybercop

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