4(2x-1)-3(3x+2)>1

Let's solve the inequality step by step:

First, distribute the constants outside the parentheses: 8x - 4 - 9x - 6 > 1

Combine like terms: 8x - 9x - 4 - 6 > 1 -x - 10 > 1

Add 10 to both sides to isolate the x term: -x > 11

Remember to change the direction of the inequality when multiplying or dividing by a negative number: x < -11

So, the solution to the inequality 4(2x-1) - 3(3x+2) > 1 is x < -11.