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

Answer:

$\large\boxed{x>\dfrac{1}{2}}$

Step-by-step explanation:

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