Solve : 5 – 4x > 2 – 3x, x ∈ W. Also represent its solution on the number line.
Solution:
5 – 4x > 2 – 3x
– 4x + 3x > 2 – 5
⇒ – x > – 3
⇒ x < 3
x ∈ w,
solution set {0, 1, 2}
Solution set on Number Line :
List the solution set of 30 – 4 (2.x – 1) < 30, given that x is a positive integer.
Solution:
30 – 4 (2x – 1) < 30
30 – 8x + 4 < 30
– 8x < 30 – 30 – 4
– 8x < – 4 x >
⇒ x >
x is a positive integer
x = {1, 2, 3, 4…..} Ans.