Science

Math

Humanities

... and beyond

Socratic Meta
Featured Answers

Topics

How do you solve $x^{2} + 5 x + 4 > 0$ $x^2+5x+4>0$ ?

1 Answer

Jul 27, 2016

$x > - 1$ $color(green)(x > -1)$ or $x < - 4$ $color(green)(x < -4)$

Explanation:

Factoring the given inequality:
$XXX (x + 1) (x + 4) > 0$ $color(white)("XXX")(x+1)(x+4) > 0$

This inequality will be true
1. if both terms are greater than $0$ $0$
$XXX x > - 1$ $color(white)("XXX")x > -1$

or
2. if both terms are less than $0$ $0$
$XXX x < - 4$ $color(white)("XXX")x < -4$

Related questions

See all questions in Polynomial Inequalities

Impact of this question

5452 views around the world

You can reuse this answer
Creative Commons License