Inequalities are used to relate expression with unequal values
The inequality that describes the scenario is: [tex]\mathbf{c \ge 286}[/tex]
The baseball cards, you have received are:
[tex]\mathbf{Grandfather = 125}[/tex]
[tex]\mathbf{Dad = 89}[/tex]
The total baseball cards, you received are:
[tex]\mathbf{Receive= Grandfather + Dad}[/tex]
So, we have:
[tex]\mathbf{Receive= 125 + 89}[/tex]
[tex]\mathbf{Receive= 214}[/tex]
You want to have a total of 500 or more before 18.
This means that:
[tex]\mathbf{c + Receive \ge 500}[/tex]
Where c represents the number of baseball cards, you need to collect on your own
Substitute [tex]\mathbf{Receive= 214}[/tex]
[tex]\mathbf{c + 214 \ge 500}[/tex]
Collect like terms
[tex]\mathbf{c \ge 500 - 214}[/tex]
[tex]\mathbf{c \ge 286}[/tex]
Hence, the inequality that describes the scenario is:
[tex]\mathbf{c \ge 286}[/tex]
Read more about inequalities at:
https://brainly.com/question/15137133