Let's solve this inequality step by step:
Distribute the multiplication on both sides:1.5 - 1(3-2x) + 0.5 > 12 - 0.1(10-5x)1.5 - 3 + 2x + 0.5 > 12 - 1 + 0.5x
Combine like terms on both sides:2x - 1 > 11 + 0.5x
Subtract 0.5x from both sides to isolate x:2x - 0.5x - 1 > 11
Combine like terms on the left side:1.5x - 1 > 11
Add 1 to both sides:1.5x > 12
Divide by 1.5 to solve for x:x > 8
Therefore, the solution to the inequality is x > 8.
Let's solve this inequality step by step:
Distribute the multiplication on both sides:
1.5 - 1(3-2x) + 0.5 > 12 - 0.1(10-5x)
1.5 - 3 + 2x + 0.5 > 12 - 1 + 0.5x
Combine like terms on both sides:
2x - 1 > 11 + 0.5x
Subtract 0.5x from both sides to isolate x:
2x - 0.5x - 1 > 11
Combine like terms on the left side:
1.5x - 1 > 11
Add 1 to both sides:
1.5x > 12
Divide by 1.5 to solve for x:
x > 8
Therefore, the solution to the inequality is x > 8.