find the largest prime number y which satisfies 3y-11<_103
Answers
The largest prime number 'y' which satisfies the inequality 3y - 11 ≤ 103 is 37.
Given:
The given inequality is 3y - 11 ≤ 103.
To Find:
The largest prime number 'y' which satisfies the inequality 3y - 11 ≤ 103.
Solution:
→ A prime number is a number that is only divisible by 1 and itself. Hence a prime number is not divisible by any other number apart from 1 and itself.
For example: 2, 3, 5, 7, 11, 31, 53, etc are prime numbers.
→ In the given question:
The given inequality is 3y - 11 ≤ 103.
∵ 3y - 11 ≤ 103
∴ 3y ≤ 103 + 11
∴ 3y ≤ 114
∴ y ≤ 38
→ The solution of the given inequality is y ∈ ( -∞ , 38]. That is every real number smaller than or equal to 38.
→ The largest prime number 'y' satisfying the inequality y ≤ 38 is 37.
Therefore the largest prime number 'y' which satisfies the inequality 3y - 11 ≤ 103 is 37.
#SPJ1
37 is the biggest "y" prime number that meets the inequality 3y - 11 103.
Given:
The given inequality is 3y - 11 ≤ 103.
To Find:
The largest prime number 'y' satisfies the inequality 3y - 11 ≤ 103.
Solution:
A prime number can only be divided by itself and by one. As a result, a prime number can only be divided by itself and by one.
Prime numbers include, for instance, 2, 3, 5, 7, 11, 31, 53, etc.
In the posed inquiry:
The given inequality is 3y - 11 ≤ 103.
∵ 3y - 11 ≤ 103
∴ 3y ≤ 103 + 11
∴ 3y ≤ 114
∴ y ≤ 38
The solution of the given inequality is y ∈ ( -∞ , 38]. That is every real number smaller than or equal to 38.
The largest prime number 'y' satisfying the inequality y ≤ 38 is 37.
Therefore, the largest prime number 'y' which satisfies the inequality 3y - 11 ≤ 103 is 37.
#SPJ1