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


Sagot :

UFGatorsidn
|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
[tex]|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)[/tex]
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