How do you solve quadratic inequalities?

To solve a quadratic inequality write the inequality in the standard form ax^2 + bx + c 0, find the roots of the quadratic equation. Use the roots to divide the number line into intervals. Determine the sign of the expression in that interval.

What is quadratic inequality?

A quadratic inequality is a second degree equation with an inequality sign

What is the rule for quadratic inequalities?

The rule for inequalities, when multiplying or divising by a negative number, flip the inequality sign

What is the difference between quadratic equation and quadratic inequalities?

The difference between quadratic equations and quadratic inequalities is that a quadratic equation is an equation that equates a quadratic expression to a constant or to zero, whereas a quadratic inequality is an inequality that involves a quadratic expression.

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x^2	x^{\msquare}	\log_{\msquare}	\sqrt{\square}	\nthroot[\msquare]{\square}	\le	\ge	\frac{\msquare}{\msquare}	\cdot	\div	x^{\circ}	\pi
\left(\square\right)^{'}	\frac{d}{dx}	\frac{\partial}{\partial x}	\int	\int_{\msquare}^{\msquare}	\lim	\sum	\infty	\theta	(f\:\circ\:g)	f(x)

\mathrm{simplify} \mathrm{solve\:for} \mathrm{expand} \mathrm{factor} \mathrm{rationalize}

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Frequently Asked Questions (FAQ)

How do you solve quadratic inequalities?
To solve a quadratic inequality write the inequality in the standard form ax^2 + bx + c < 0 or ax^2 + bx + c > 0, find the roots of the quadratic equation. Use the roots to divide the number line into intervals. Determine the sign of the expression in that interval.
What is quadratic inequality?
A quadratic inequality is a second degree equation with an inequality sign
What is the rule for quadratic inequalities?
The rule for inequalities, when multiplying or divising by a negative number, flip the inequality sign
What is the difference between quadratic equation and quadratic inequalities?
The difference between quadratic equations and quadratic inequalities is that a quadratic equation is an equation that equates a quadratic expression to a constant or to zero, whereas a quadratic inequality is an inequality that involves a quadratic expression.

- \twostack{▭}{▭}	\lt	7	8	9	\div	AC
+ \twostack{▭}{▭}	\gt	4	5	6	\times	\square\frac{\square}{\square}
\times \twostack{▭}{▭}	\left(	1	2	3	-	x
▭\:\longdivision{▭}	\right)	.	0	=	+	y

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