Answer: The set of inequality is solved as x is greater than or equal to 2
Step-by-step explanation:
Given inequality : -5x + (-3) ≤ 2x -17
Adding 3 both sides
-5x + (-3) + 3 ≤ 2x + 3 - 17
-5x ≤ 2x -14
Adding 5x both sides
-5x + 5x ≤ 2x - 14+ 5x
0 ≤ 7x - 14
Adding 14 both sides
0+ 14 ≤ 7x -14 + 14
14≤ 7x
Dividing by 7 both sides
2 ≤ x
Hence the solution is x ≥2
