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 greater than or equal to $\frac{9}{2}$ [A dark bubble at $\frac{9}{2}$ indicates that $\frac{9}{2}$ is included]

⇒ x ≥ $\frac{9}{2}$

∴ x ∈ $[\frac{9}{2},\mathrm{\infty })$