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 ∈ \((-\infty,\frac{7}{2})\).