Question

solve this inequality please:
n-5/2 > 3/4(n-6)

Answer 1

do you know this

Answer 2

1. Distribute the fraction (3/4) over (n-6).

This should give you the new equation: n - (5/2) > (3/4)n - 4.5

2. Now combine like terms. This means put all the numbers that are being multiplied by X together, and all the numbers together.

First, isolate n. To get n alone, we can make the other number next to it (- 5/2) zero. We do this by adding the opposite of the number to it. So (-5/2) plus (5/2) gives you zero.

Now you have n all alone on the left side of the equation. But because you added a number to one side, you must do it to the other to keep the equation balanced.

So now add 5/2 to the other side. You'll get:

n > (3/4)n - (4.5 + 5/2)

Because 5/2 is the same as 2.5:

n > (3/4)n - (7)

Now, put both n's on the same side to combine like terms. To get (3/4)n away from the right side of the equation, subtract it by (3/4)n to get zero on the right side. Now do the same thing to the left side.

n - (3/4n) > -7

1 entire n subtracted by 3-fourths of another n leaves you with one-fourths n.

SO ,

1/4n > -7

Now, complete the problem by isolating the n completely.

Divide both sides by 1/4.

This will give you:

n > -28


Hope it helped (and wasn't too late)!