Question
Solve the inequality
Solve for x
Solve for y
x>2y580y4,y>0x<2y580y4,y<0
Evaluate
4x5y>10
Rewrite the expression
4yx5>10
Divide both sides
4y4yx5>4y10
Divide the numbers
x5>4y10
Cancel out the common factor 2
x5>2y5
Rewrite the inequalities
{x5>2y5y>0{x5<2y5y<0
Calculate
More Steps

Calculate
x5>2y5
Take the 5-th root on both sides of the equation
5x5>52y5
Calculate
x>52y5
Simplify the root
More Steps

Evaluate
52y5
To take a root of a fraction,take the root of the numerator and denominator separately
52y55
Multiply by the Conjugate
52y×524y455×524y4
Calculate
2y55×524y4
Calculate
2y580y4
x>2y580y4
{x>2y580y4y>0{x5<2y5y<0
Calculate
More Steps

Calculate
x5<2y5
Take the 5-th root on both sides of the equation
5x5<52y5
Calculate
x<52y5
Simplify the root
More Steps

Evaluate
52y5
To take a root of a fraction,take the root of the numerator and denominator separately
52y55
Multiply by the Conjugate
52y×524y455×524y4
Calculate
2y55×524y4
Calculate
2y580y4
x<2y580y4
{x>2y580y4y>0{x<2y580y4y<0
Solution
x>2y580y4,y>0x<2y580y4,y<0
Show Solution
