Question

Ques. Find the greatest integer which is such that if 3 is added to its thrice, the resulting
number becomes greater than four times the integer.​

Answer 1

Answer:

4

Step-by-step explanation:

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Answer 2

Step-by-step explanation:

Let the integer be x

According to question

(3x + 9) > 4x

______________

On putting x= 1,

3 + 9 > 4

=> 12 > 4

______________

On putting a = 2,

6 + 9 > 8

=> 11 > 8

______________

On putting a = 3,

6 + 7 > 9

=> 13 > 9

______________

On putting a = 4,

8 + 7 > 12

=> 15 > 12

_____________

On putting a = 5,

10 + 7 > 15

=> 17 > 15

_____________

On putting a = 6,

12 + 7 > 18

=> 19 > 18

_____________

On putting a = 7,

14 + 7 = 21

=> 21 = 21

This does not satisfies the given condition.

So the greatest number = 6