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02-10-2021
Mathematics

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solution of the inequality |7x-5| < |3x+11| is ...

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02-10-2021

Step-by-step explanation:

|7x-5| < |3x+11|

(7x-5)² < (3x+11)²

49x²-70x+25 < 9x²+66x+121

40x²-136x-96 < 0

5x² -17x -12 <0

(5x+3)(x-4) < 0

the solutions :

{x | -3/5 < x < 4}

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