Question

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

Answer 1

|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)