Question

Solve the inequality :
$x^2<-x^4$

• A. no solutions
• B. $(-1,1)$
• C. $(-\infty ,+\infty )$
• D. $(0,+\infty )$
• E. $[0,+\infty )$

Answer 1

The correct option is A no solutions

Given $x^2<-x^4$

$\therefore x^2+x^4<0$

But we know that

$x^2\ge 0$ and $x^4\ge 0$

$\therefore x^2+x^4\ge 0$

So, the equation $x^2+x^4<0$ has no solution

So, the answer is option (A)