Solve the inequality. express your answer in interval form. (if there is no solution, enter no solution.) x > x8

x> x⁸

If we just flip the inequality, then x⁸ < x

x⁸ < x

⇒ x⁸ - x < 0

⇒ x (x⁷ - 1) < 0

⇒ x (x-1) (x⁶+x⁵+x⁴+x³+x²+x+1) < 0

So, x> 0 or x< 1

we can also write it after combining as 0 < x< 1

The interval notation will be: (0,1) [ as there is no 'equal' with inequality sign, that's why we need to use parenthesis ]