Solve -3 < x^5x - 2

Evaluate

- 3 < x^{5} \times x - 2

Multiply the terms

More Steps

- 3 < x^{6} - 2

Move the expression to the left side

- 3 - (x^{6} - 2) < 0

Subtract the terms

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- 1 - x^{6} < 0

Rewrite the expression

- 1 - x^{6} = 0

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

- x^{6} = 0 + 1

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

- x^{6} = 1

Since the left-hand side is always negative or 0,and the right-hand side is always positive,the statement is false for any value of x

x \in / R

There are no key numbers,so choose any value to test,for example x = 0

x = 0

Solution

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x \in R

Alternative Form

All real solution

Solve the inequality