Question

Solve the inequation given below and represent its solution set on a number line:

2x – 7 < 4, x ∈ {1, 2, 3, 4, 5, 6, 7}

Answer 1

Given,

⇒ 2x – 7 < 4

⇒ 2x < 7 + 4

⇒ 2x < 11

⇒ `x < 11/2`

⇒ x < 5.5

Since, x ∈ {1, 2, 3, 4, 5, 6, 7}

Hence, solution set = {1, 2, 3, 4, 5}.

Solution on the number line is: