MyQuestionIcon

1

You visited us 1 times! Enjoying our articles? Unlock Full Access!

Concept of Inequality

Solve the fol...

Question

Solve the following inequality:
$| x^{2} - 4 x | < 5$

Open in App

Solution

$| x^{2} - 4 x | < 5$
$x^{2} - 4 x > - 5$
$x^{2} - 4 x + 5 > 0$
$b < 0$
$x ϵ R$
$a n d$
$x^{2} - 4 x < 5$
$x^{2} - 4 x - 5 < 0$
$x^{2} - 5 x + x - 5 < 0$
$(x - 5) (x + 1) < 0$
$x ϵ (- 1, 5)$
So, $x ϵ (- 1, 5)$

Suggest Corrections

thumbs-up

0

Similar questions

Q. Solve the following inequality:

\frac{15 - 4 x}{x^{2} - x - 12} < 4

Q. Solve the following inequality :

\frac{x - 1}{x^{2} - 4 x + 3} < 1

Q. Solve the following inequality:

\frac{x^{4} + x^{2} + 1}{x^{2} - 4 x - 5} > 0

Q. Solve the following inequality:

\frac{x^{2} - 6 x + 9}{5 - 4 x - x^{2}} ⩾ 0

Q. Solve the following inequality:

\frac{x^{2} - 5 x + 12}{x^{2} - 4 x + 5} > 3

View More

Join BYJU'S Learning Program

similar_icon

Related Videos

lock

Concept of Inequality

MATHEMATICS

Watch in App

explore_more_icon

Explore more

Concept of Inequality

Standard X Mathematics

Join BYJU'S Learning Program

CrossIcon