How many of the integers that satisfy the inequality x-2 x-3 - x-2 - 0 are less than 5-

The correct option is D 4 Representing equation on number line :We can see in above diagram x∈ [ 3, 2]∪(2,∞) Integers less than 5 satisfying the equat ...

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

Byju's Answer

Standard XII

Mathematics

Greatest Integer Function

How many of t...

Question

How many of the integers that satisfy the inequality $\frac{(x + 2) (x + 3)}{x - 2} \geq 0$ are less than 5?

1

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

2

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

3

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

4

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

5

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

Open in App

Solution

The correct option is D $4$
Representing equation on number line :

We can see in above diagram $x \in [- 3, - 2] \cup (2, \infty)$

Integers less than 5 satisfying the equation are : $- 3, - 2, 3, 4$

$∴ 4$ integers satisfy the equation

Suggest Corrections

Similar questions

Q. How many integers satisfy the inequality

\frac{[(x - 1) (x + 4) (x + 2)]}{[(x - 3) (x + 8) (x + 3)]}

0

Q. The number of solution of integer which satisfies this inequality

\frac{x^{2} - 1}{2 x + 5} < 3

is (x>0)

Q. If all integers satisfying the inequality

\frac{(x - 1)^{2} (x - 2)^{3} (x - 4)^{5} (x - 5)^{5}}{(x - 5)^{2}} \geq 0

are arranged in increasing order then the quadratic equation with the first and fifth integers in the list as roots is -

For how many integers n, will the inequality $(n - 5) (n - 10) - 3 (n - 2) \leq 0$ be satisfied?___

How many integers satisfy the condition $0 \leq \frac{2}{3} [x] \leq 1$

Join BYJU'S Learning Program

How many of the integers that satisfy the inequality (x+2)(x+3)x−2≥0 are less than 5?

The correct option is D 4Representing equation on number line :We can see in above diagram x∈[−3,−2]∪(2,∞)Integers less than 5 satisfying the equation are :−3,−2,3,4∴4 integers satisfy the equation

How many of the integers that satisfy the inequality $\frac{(x + 2) (x + 3)}{x - 2} \geq 0$ are less than 5?

The correct option is D $4$
Representing equation on number line :

We can see in above diagram $x \in [- 3, - 2] \cup (2, \infty)$

Integers less than 5 satisfying the equation are : $- 3, - 2, 3, 4$

$∴ 4$ integers satisfy the equation