If the distances from the known points (m-1,3m-4) to the x-axis and y-axis are equal, then the coordinates of the points are

If the distances from the known points (m-1,3m-4) to the x-axis and y-axis are equal, then the coordinates of the points are

That is | M-1 | = | 3m-4|
m-1=3m-4,m-1=-3m+4
So m = 3 / 2, M = 5 / 4
So p (1 / 2,1 / 2) or (1 / 4, - 1 / 4)

Speed! If the system of inequalities x ≤ 2 x > 3m-1 has no solution, find the value of M
Tomorrow's exam
By the way, I'll explain why there are some similar problems when the number axis is drawn

Hello!
Because the system of inequalities x ≤ 2, x > 3m-1 has no solution
So, 3m-1 ≥ 2, the solution is m ≥ 1
In other words, the maximum value on the left should be less than or equal to the minimum value on the right
Please accept if you are satisfied! Thank you!