If x ∈ Z, solve 2 + 4x < 2x – 5 ≤ 3x. Also, represent its solution on the number line.
Solution:
2 + 4x < 2x – 5 ≤ 3x
2 + 4x < 2x – 5 and 2x – 5 ≤ 3x => 4x – 2x < – 5 – 2 ,and 2x – 3x ≤ 5
Solve the inequation = 12 + ≤ 5 + 3x, x ∈ R. Represent the solution on a number line. (1999)
Solution:
12 + ≤ 5 + 3x