Question

hurry im in a rush need answer quick

Solve 4(x - 3) - 2(x - 1) > 0.


{x | x > 2}
{x | x > 5}
{x | x > 7}
{x | x > 14}

Answer 1

4x-12-2x+2>0
=>2x-10>0
=>2x>10
=>x>5

Answer 2

Add 2(x - 1) to both sides:
4(x - 3) > 2(x - 1)

Divide both sides by 2:
2(x - 3) > (x - 1)

Rewrite 2(x - 3) as 2(x - 1 - 2):
2(x - 1 - 2) > (x - 1)

Distribute 2 over 2:
2(x - 1) - 4 > (x - 1)

Subtract (x - 1) from both sides:
2(x - 1) - (x - 1) - 4 > 0
(x - 1) - 4 > 0

Add 4 to both sides
x - 1 > 4

Add 1 to both sides:
x > 5