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!

option a is correct.

step-by-step explanation:

scale factor: it is used to find proportional measurements.

proportions means having the same ratio.

scale factor is the ratio of the model measurement to the actual measurement in a simplest form.

or we can say that the ratio of any two corresponding lengths in two similar geometric figures

if the scale factor is more than 1, then it is an enlargement,

if the scale factor less than 1, then it is a reduction.

given the two geometric figure:

by definition of proportions, we have

answer: your correct answer is b. d.

step-by-step explanation: