Does the direction of the inequality sign change with the sign For example, | 2-x | > 3 2-x > 3, or 2-x < - 3 2-x > 3 x < 1 2-x < -3 x > -5 The meaning of the original formula | 2-x | > 3 on the number axis is that the distance from the far point is greater than 3 But in solving those two equations, the direction of the unequal sign changed So the solution set of the original formula should be {x | x < 1, or x > - 5} Or {x | - 5 < x < 1}

Does the direction of the inequality sign change with the sign For example, | 2-x | > 3 2-x > 3, or 2-x < - 3 2-x > 3 x < 1 2-x < -3 x > -5 The meaning of the original formula | 2-x | > 3 on the number axis is that the distance from the far point is greater than 3 But in solving those two equations, the direction of the unequal sign changed So the solution set of the original formula should be {x | x < 1, or x > - 5} Or {x | - 5 < x < 1}

You are wrong when you solve the equation
|2-x| > 3
2-x > 3, or 2-x < - 3
The solution of 2-x > 3 is - x > 3-2 = 1
So - x > 1
x