Answer:
[tex]\large\boxed{x<4\dfrac{1}{4}\to x\in\left(-\infty,\ 4\dfrac{1}{4}\right)}[/tex]
Step-by-step explanation:
[tex]x+1<\dfrac{21}{4}\\\\x+1<\dfrac{20+1}{4}\\\\x+1<\dfrac{20}{4}+\dfrac{1}{4}\\\\x+1<5\dfrac{1}{4}\qquad\text{subtract 1 from both sides}\\\\x+1-1<5\dfrac{1}{4}-1\\\\x<4\dfrac{1}{4}[/tex]