Question

Solve the following inequality analytically??

x ln(x) − x > 0

Answer 1

x ln(x) > x
ln (x) > 1
e^(ln (x)) > e^(1)
x > e

Answer 2

x ln(x) − x > 0
add x on both sides
x ln(x) > x
divide both sides by x
ln(x)>1

Answer 3

Thus, for that equation to be true, x must be larger than e (2.718...)

Answer 4

yep