Problem Statement
Solve the inequation and represent the solution set on a real number line:
$$-3 < 2x - 1 < x + 4, \quad x \in \mathbb{R}$$
Verified Solution & Marking Scheme
Solve Left Inequality
$$-3 < 2x - 1 \implies -2 < 2x \implies x > -1$$
Solve Right Inequality
$$2x - 1 < x + 4 \implies x < 5$$
Combine and Graph
Solution set: $\{x : -1 < x < 5, \, x \in \mathbb{R}\}$, represented with open circles at $-1$ and $5$ and shaded line between them.