Chapter A.9, Problem 129AYU

To determine

To find: The inequality $x^2 + 1 < -5$ has no real solution. Explain why.

Answer to Problem 129AYU

$x^2 + 1 < - 5$ has no real solution

Subtract $-1$ on both sides we get $x^2 < -6$, the square value never be negative, so there is no solution to the inequality.

Explanation of Solution

$x^2 + 1 < -5$ has no real solution

Subtract $-1$ on both sides we get $x^2 < -6$, the square value never be negative, so there is no solution to the inequality.