Question

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:

the number is 2

Step-by-step explanation:

let the required number be x

given, 3+3x >4x

⇒x<3

⇒x∈(-infinity,3)

largest integer is hence 2

Answer 2

✬ Integer = 2 ✬

Step-by-step explanation:

Given:

• After adding 3 to thrice a integer the resulting number becomes greater than four time integer.

To Find:

• What is the integer ?

Solution: Let the integer be x. Therefore,

➨ Adding 3 to thrice the integer

➨ (3 + 3x)

After adding 3 resulting number becomes greater than four time integer.

$\implies{\rm }$ 3 + 3x > 4x

$\implies{\rm }$ 3x – 4x > – 3

$\implies{\rm }$ – x > – 3

[ Multiply by –1 , this will reverse inequality sign ]

$\implies{\rm }$ x < 3

Hence, the greater integer is 2.

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★ Verification ★

=> 3 + 3(2) = 4(2)

=> 3 + 6 > 8