Question

Find the solution set of the inequation: 30 - 4(2x-1) < 30, where x is a positive integer.​

Answer 1

Answer:

Given inequation,

30−4(2x−1)<30

⇒30−8x+4<30

⇒34−8x<30

⇒−8x<30−34

⇒−8x<−4

⇒8x>4[On multiplying both sides by -1, the inequality reverses]

⇒x>4/8

⇒x>1/2

As x is a positive integer

The solution set is {1,2,3,…}