Question

For the following real number line, the solution set is:

Options

• {x : x ∈ W and – 2 ≤ x < 4}

• {x : x ∈ N and – 2 ≤ x ≤ 4}

• {x : x ∈ R and – 2 < x ≤ 4}

• {x : x ∈ R and – 2 ≤ x < 4}

Answer 1

{x : x ∈ R and – 2 < x ≤ 4}

Explanation:

Since there is a hollow dot at x = – 2 and dark dot at x = 4 thus – 2 is not included while 4 is included in solution set.

Also, there is a dark line between – 2 and 4.

So solution set contains all real numbers between – 2 and 4 (including 4)

∴ Solution set = {x : x ∈ R and – 2 < x ≤ 4}