olve the following inequality.
\[
2 x^{\frac{2}{3}} \leq-4
\]
All real numbers.
$-2.828 \leq x \leq 2.828$
There is no solution.
$x \leq-2.828$ or $x \geq 2.828$
Final Answer: \(\boxed{\text{No Solution}}\)
Step 1 :The inequality is \(2x^{2/3} \leq -4\).
Step 2 :Isolate \(x^{2/3}\) by dividing both sides by 2 to get \(x^{2/3} \leq -2\).
Step 3 :Since \(x^{2/3}\) is always non-negative for real \(x\), it cannot be less than or equal to -2.
Step 4 :Therefore, there is no solution to this inequality.
Step 5 :Final Answer: \(\boxed{\text{No Solution}}\)