Let's simplify both sides of the inequality:
5(x+2) + 2(x-3) < 3(x-1) + 4x5x + 10 + 2x - 6 < 3x - 3 + 4x7x + 4 < 7x - 3
Now, let's isolate x on one side:
7x + 4 < 7x - 3Subtract 7x from both sides:4 < -3
Since this is not a true statement, the inequality 5(x+2) + 2(x-3) < 3(x-1) + 4x has no solution.
Let's simplify both sides of the inequality:
5(x+2) + 2(x-3) < 3(x-1) + 4x
5x + 10 + 2x - 6 < 3x - 3 + 4x
7x + 4 < 7x - 3
Now, let's isolate x on one side:
7x + 4 < 7x - 3
Subtract 7x from both sides:
4 < -3
Since this is not a true statement, the inequality 5(x+2) + 2(x-3) < 3(x-1) + 4x has no solution.