We are given inequality:
2x +7 less than equal to 3x -5.
2x +7 ≤ 3x -5
Subtracting 7 from both sides, we get
2x +7-7 ≤ 3x -5-7
2x ≤ 3x -12.
Subtracting 3x from both sides, we get
2x-3x ≤ 3x -3x -12
-x ≤ -12.
Dividing both sides by -1. we get
x ≥ 12.
Note: When we multiply or divide be a negative number the inequality sign get flip.
