12x-3≥15x or -0.2+10<5
The given inequalities are:
1) 12x - 3 ≥ 15x
2) -0.2 + 10 < 5
To solve each inequality:
1) 12x - 3 ≥ 15x
Subtract 12x from both sides: -3 ≥ 3x
Divide by 3: -1 ≥ x
The solution for the first inequality is x ≤ -1.
2) -0.2 + 10 < 5
Add 0.2 to both sides: 9.8 < 5
This is a false statement, as 9.8 is not less than 5.
Therefore, there is no solution for the second inequality.
The solution to the system of inequalities is x ≤ -1.