Find three consecutive largest positive integers such that the sum of one-third of first, one-fourth of second and one-fifth of third is at most 20.

If 7 ≥ -2x + 1 > -7 ; find the sum of greatest and smallest values of x ∈ I.

Case study :
A teacher asked to Rohan to draw a triangle with following condition: The longest side of the triangle is 7 cm less than twice the shortest side and third side is 7 cm shorter than longest side. The perimeter of the triangle is atleast 84 cm.

Based on the above information, form a linear inequation and answer the following questions :

(i) What is the minimum length of the shortest side ?

(ii) What is the minimum length of the longest side ?

(iii) Identify the type of triangle that Rohan has drawn along with the length possible sides he got.

(iv) What is the least area of the triangle drawn ?