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27-02-2017
Mathematics

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|2-5x|+3<10 how to solve

Verified Answer :

28-02-2017

|2-5x|+3<10
|2-5x| < 7

2-5x <7 for 2-5x ≥0 ∪ -(2-5x) < 7 for 2-5x <0
-5x < 5 for 2 ≥ 5x   ∪ 2-5x > -7 for 2<5x
- 5 < 5x and x ≤ 2/5 ∪ 9 > 5x and 2/5 <x
x > -1 and x ≤ 0.4 ∪   1.8 > x and x > 0,4
   x ∈ ( -1, 0.4] ∪ [0.4 , 1.8)
x ∈ ( -1, 1.8)

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