Question

Solve the inequality

x^(-1/4)<-1/2

Please fast

Answer 1

What lesson is that

Answer 2

x^(-1/4)<-1/2

1/x^(1/4) < -1/2
1/x < -1/2^4
1/x < -1/16
x < -16

Answer 3

I have my doubts about that but got stuck.

if x = -16
x^-1/4 = 1 /(-16)^1/4
what is (-16)^1/4
-2 does not do it. It is positive

Answer 4

the 4th root of a positive number is always positive

so there are no real solutions here.

Answer 5

how does this even work bruh i just want the answer to

1 1/4 x 16

Answer 6

[AI-generated answer — Explain Bot]

To solve the inequality x^(-1/4) < -1/2, we need to find the values of x that make this statement true.

Step 1: Start by taking the reciprocal of both sides of the inequality to eliminate the negative exponent:
(x^(-1/4))^(-1) > (-1/2)^(-1)

Simplifying, we have:
x^(1/4) > -2

Step 2: Raise both sides of the inequality to the fourth power to eliminate the fractional exponent:
(x^(1/4))^4 > (-2)^4

Simplifying further, we get:
x > 16

Therefore, the solution to the inequality x^(-1/4) < -1/2 is x > 16.