1/4n+12>3/4n-4
solve the inequality
and please show the steps I don't understand how to work it
Thanks
If your expression mean :
( 1 / 4 ) n + 12 > ( 3 / 4 ) n - 4
then:
( 1 / 4 ) n + 12 > ( 3 / 4 ) n - 4 Multiply both sides by 4
4 * ( 1 / 4 ) n + 4 * 12 > 4 * ( 3 / 4 ) n - 4 * 4
n + 48 > 3 n - 16 Substrac n to both sides
n + 48 - n > 3 n - 16 - n
48 > 2 n - 16 Add 16 to both sides
48 + 16 > 2 n - 16 + 16
64 > 2 n Divide both sides by 2
32 > n
That is equivalent of :
n < 32