Subject: Mathematics Concept: Algebra II · Solving Inequality
Question: Solve the x for following equation with two methods

Now

ATQ to the equation x should be greater than 1 .Because if it becomes 1 then the denominator will be 0 which is impossible.

Hence x>1

Thus

Now

Step-by-step explanation:

we want to figure out the following inequality:

first note, we have the expression x-1 on the denominator, which means x of course CANNOT be 1 in other words x must be greater than 1,we will see the use of it later,

for now multiply both sides by x-1 which yields:

distribute:

add 4 to both sides:

divide both sides by 4:

as I mentioned before x must be greater than 1 hence,

and we're done!