Math, asked by ijsukhmani13, 2 months ago

solve
|1/2 - 3x/7| < 11/3

Answers

Answered by Anonymous

4

Answer:

» | ½ - 3x/7 | < 11/3

» ½ - 3x/7 < 11/3 and ½ - 3x/7 > -11/3

Case I

» -3x/7 < 11/3 - 1/2

» - 3x/7 < (22 - 3)/6

» -3x/7 < 19/6

» x > -133/18

Case II

» -3x/7 > -11/3 - 1/2

» -3x/7 > (-22 - 3)/6

» -3x/7 > -25/6

» 3x/7 < 25/6

» x < 175/18

Therefore, x € (-133/18, 175/18)

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