Respuesta :

Given the inequality

[tex]21y>84[/tex]

We solve it as following:

[tex]21y>84\rightarrow\frac{21y}{21}>\frac{84}{21}\rightarrow y>4[/tex]

Thereby, y has to be greater than 4.

[tex]y>4[/tex]

As an interval,

[tex]y\in(4,\infty)[/tex]

NOTE: Remember that dividing or multiplying an inequality by a negative number turns it around! Here we divided by 21, so it stayed the same.