5х-2/4-3-х/5>1-х/10

To solve this inequality, let's simplify both sides of the equation:

5x - 2/4 - 3 - x/5 > 1 - x/10

First, simplify the left side:

5x - 1/2 - 3 - x/5 > 1 - x/10

To add fractions, we need a common denominator. In this case, the common denominator is 10. So, let's convert the fractions to have a denominator of 10:

5x - 5/10 - 30/10 - 2x/10 > 10/10 - x/10

Now, simplify the fractions:

5x - 1/2 - 3 - x/5 > 1 - x/10

5x - 1/2 - 3 - x/5 > 1 - x/10 10x - 1 - 30 - 2x > 10 - x

Combine like terms:

8x - 31 > 10 - x

Add x to both sides:

8x + x - 31 > 10

Combine like terms:

9x - 31 > 10

Add 31 to both sides:

9x > 41

Divide both sides by 9:

x > 41/9

Therefore, the solution to the inequality is x > 41/9.