The following number line represents :

1. {x : x ∈ R and x = 10}

2. {(x < 10) ∪ (x > 10)}

3. {(10 > x) ∩ (x > 10)}

4. {x : x ∈ R and x < 10}

The solution set for the following number line is :

1. {x : x ∈ R, x < -2 and x > 3}

2. {x : x ∈ R and -2 < x < 3}

3. {x : x ∈ R, x < -2 or x < 3}

4. {x : x ∈ R, x ≤ -2 or x ≥ 3}

Represent the following inequalities on real number lines :

(i) 2x - 1 < 5

(ii) 3x + 1 ≥ -5

(iii) 2(2x - 3) ≤ 6

(iv) -4 < x < 4

(v) -2 ≤ x < 5

(vi) 8 ≥ x > -3

(vii) -5 < x ≤ -1

For each graph given alongside, write an inequation taking x as the variable :