We can solve this
0 ≤ [ -2x + 5] / 7 < 1 multiply both sides by 7
0 ≤ -2x + 5 < 7
We have two inequalities
0 ≤ -2x + 5 -2x + 5 < 7
Subtract 5 from both sides
-5 ≤ -2x -2x < 2
Divide both sides by -2
Reverse the inequality sign
5/2 ≥ x x > - 1
So....the solution interval for this is -1 < x ≤ 5/2