Given:
The inequality is:
[tex]-20t>-80[/tex]
To find:
The solution for the given inequality and graph of it.
Solution:
We have,
[tex]-20t>-80[/tex]
Divide both sides by -20 and change the sign of inequality because inequality is divided by a negative number.
[tex]\dfrac{-20t}{-20}<\dfrac{-80}{-20}[/tex]
[tex]t<4[/tex]
Therefore, the solution for the given inequality is [tex]t<4[/tex].
All the value less than 4 are in the solution set. It means all the values on the left side of 4 are in the solution set.
Since 4 is not included in the solution set, therefore there is an open circle at 4.
The graph for the given inequality is shown below:
