Solve y^4 > 7 - ScanMath

Evaluate

y^{4} > 7

Move the expression to the left side

y^{4} - 7 > 0

Rewrite the expression

y^{4} - 7 = 0

Move the constant to the right-hand side and change its sign

y^{4} = 0 + 7

Removing 0 doesn't change the value,so remove it from the expression

y^{4} = 7

Take the root of both sides of the equation and remember to use both positive and negative roots

y = \pm 47

Separate the equation into 2 possible cases

y = 47 y = - 47

Determine the test intervals using the critical values

y < - 47 - 47 < y < 47 y > 47

Choose a value form each interval

y_{1} = - 3 y_{2} = 0 y_{3} = 3

To determine if y < - 47 is the solution to the inequality,test if the chosen value y = - 3 satisfies the initial inequality

More Steps

y < - 47 is the solution y_{2} = 0 y_{3} = 3

To determine if - 47 < y < 47 is the solution to the inequality,test if the chosen value y = 0 satisfies the initial inequality

More Steps

y < - 47 is the solution - 47 < y < 47 is not a solution y_{3} = 3

To determine if y > 47 is the solution to the inequality,test if the chosen value y = 3 satisfies the initial inequality

More Steps

y < - 47 is the solution - 47 < y < 47 is not a solution y > 47 is the solution

Solution

y \in (- \infty, - 47) \cup (47, + \infty)

Y^4 > 7