The number of solutions of the inequality 3x - 5 < x + 7, where x is a natural number.

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

\infty

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Can't be determined

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Open in App

Solution

The correct option is B 5
Given expression,
$3x - 5 < x + 7$
$⟹ 3x - x < 7 + 5$
$⟹ 2x < 12$
$⟹ x < 6$
$∴ x = 1, 2, 3, 4, 5$ $(∵ x$ belongs to $N)$

The number of natural number solutions for the given equation is 5.

Suggest Corrections

Similar questions

\frac{x^{2} (3 x - 4)^{3} (x - 2)^{4}}{(x - 5)^{5} (2 x - 7)^{6}} \leq 0

x

4 x + 5 < 41 - 2 x

2 x - 3 < x + 2 \leq 3 x + 5

x \in R

3 x - 5 \leq x - 2 < 3 x + 7

- x < \frac{3 x - 5}{4}

- 5 \leq x - 4 < 1

Join BYJU'S Learning Program