Question

The solution to the inequality 3(2x-1)>4x-2 can be written as x>n what is the value of n

Answer 1

`\large\boxed{x>(1)/(2)}`

Explanation:

`3(2x-1)>4x-2\qquad\text{use the distributive property}\ a(b+c)=ab+ac\\\\(3)(2x)+(3)(-1)>4x-2\\\\6x-3>4x-2\qquad\text{subtract 4x from both sides}\\\\2x-3>-2\qquad\text{add 3 to both sides}\\\\2x>1\qquad\text{divide both sides by 2}\\\\x>(1)/(2)`