MyQuestionIcon

1

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

Law of Reciprocal

Solve: x4 < ...

Question

Solve:
$\frac{x}{4} < \frac{5 x - 2}{3} - \frac{(7 x - 4)}{5}$ .

Open in App

Solution

We are given linear inequality
$\frac{x}{4} < \frac{5 x - 2}{3} - \frac{(7 x - 4)}{5}$
So, $\frac{x}{4} < \frac{(5 x - 2)}{3} - \frac{(7 x - 4)}{5}$
$0 < \frac{(5 x - 2)}{3} - \frac{(7 x - 4)}{5} - \frac{x}{4}$
$∴ \frac{20 (5 x - 2) - 12 (7 x - 4) - 15 x}{60} > 0$
$∴ 100 x - 40 - 84 x + 48 - 15 x > 0$
$x + 8 > 0$
So, $x \in (- 8, \infty)$

Suggest Corrections

thumbs-up

0

Similar questions

\frac{x}{4} > \frac{5 x - 2}{3} - \frac{7 x - 3}{5}

x

\frac{2 - 7 x}{1 - 5 x} = \frac{3 + 7 x}{4 + 5 x}

Q. Solve the following inequations

\frac{5 x - 2}{3} - \frac{7 x - 3}{5} > \frac{x}{4}

Q. Solve the inequalities for real

x

.

\frac{x}{4} < \frac{(5 x - 2)}{3} - \frac{(7 x - 3)}{5}

Q. Solve the inequality for real

x

\frac{x}{4} < \frac{(5 x - 2)}{3} - \frac{(7 x - 3)}{5}

View More

Join BYJU'S Learning Program

similar_icon

Related Videos

lock

Properties of Inequalities

MATHEMATICS

Watch in App

explore_more_icon

Explore more

Law of Reciprocal

Standard XII Mathematics

Join BYJU'S Learning Program

CrossIcon