Question

The solution set for the following number line is:

Options

• {x : x ∈ R and x < – 2 and x > 3}

• {x : x ∈ R and – 2 < x < 3}

• {x : x ∈ R and x < – 2 or x < 3}

• {x : x ∈ R and x ≤ – 2 or x ≥ 3}

Answer 1

{x : x ∈ R and x ≤ – 2 or x ≥ 3}

Explanation:

Since there is a dark line upto x = – 2 and dark line starts from x = 3 and goes upto infinity.

∴  x ≤ – 2 or x ≥ 3