Question

30-4(2x-1)<30 list the solution set given that x is a positive integer

Answer 1

⇒ 30-4(2x-1)<30

⇒ -8x+38<0

⇒-8x<-38

⇒8x>38

⇒x>19/2

so x ∈ (19/2 to ∞)

Answer 2

${ \underline{ \boxed{ \sf{ \large{ \color{red}{Given \: inequation,}} }}}}$

30 – 4 (2x – 1) < 30

30 – 8x + 4 < 30

34 – 8x < 30

-8x < 30 – 34

-8x < -4

[On multiplying both sides by -1, the inequality reverses]

8x > 4

x > 4/8

⇒ x > 1/2

As x is a positive integer

The solution set is {1, 2, 3, … }