Solution of a linear inequality in variable x is represented on number line. Choose the correct answer from the given four options in each of the exercises.

Concept:

Number Line:

A number line is a pictorial representation of numbers on a straight line. It’s a reference for comparing and ordering numbers.

Calculation:

The above graph represents all values of x lesser than $\frac{7}{2}$ [A bubble at $\frac{7}{2}$ indicates that $\frac{7}{2}$ is not included]

⇒ x < $\frac{7}{2}$

∴ x ∈ $(-\mathrm{\infty },\frac{7}{2})$.