Given:
The inequality is:
[tex]3t+1\leq 5[/tex]
To find:
The graph of the given inequality.
Solution:
We have,
[tex]3t+1\leq 5[/tex]
Subtract both sides by 1.
[tex]3t\leq 5-1[/tex]
[tex]3t\leq 4[/tex]
Divide both sides by 3.
[tex]t\leq \dfrac{4}{3}[/tex]
The value of t is less than or equal to [tex]\dfrac{4}{3}[/tex].
Since [tex]t\leq \dfrac{4}{3}[/tex], it means [tex]\dfrac{4}{3}[/tex] is included in the solution, therefore there is a closed circle at [tex]t=\dfrac{4}{3}[/tex] and an arrow approaches to left from [tex]t=\dfrac{4}{3}[/tex].
Therefore, the correct option is A.
