Solve 2 | x^5 | -3 ≤ 22

Evaluate

2 x^{5} - 3 \leq 22

Move the expression to the left side

2 x^{5} - 3 - 22 \leq 0

Subtract the numbers

2 x^{5} - 25 \leq 0

Rewrite the expression

2 x^{5} \leq 25

Divide both sides

\frac{2 x ^{5}}{2} \leq \frac{25}{2}

Divide the numbers

x^{5} \leq \frac{25}{2}

Separate the inequality into 2 possible cases

{x^{5} \leq \frac{25}{2} x^{5} \geq - \frac{25}{2}

Solve the inequality for x

More Steps

{x \leq \frac{5 400}{2} x^{5} \geq - \frac{25}{2}

Solve the inequality for x

More Steps

{x \leq \frac{5 400}{2} x \geq - \frac{5 400}{2}

Solution

- \frac{5 400}{2} \leq x \leq \frac{5 400}{2}

Alternative Form

x \in [- \frac{5 400}{2}, \frac{5 400}{2}]