Answer:
c ≤ -196
Step-by-step explanation:
The given expression, a number c divided by 7 is at most -28 can be written as:
![(c)/(7)\leq-28](https://img.qammunity.org/2023/formulas/mathematics/college/ibfbba5mps3isz9xcd6x0lsx45c3ajplve.png)
It is the same to say that a c divided by 7 is less than or equal to -28.
So, we can solve for c by multiplying both sides of the inequality by 7 as:
![\begin{gathered} (c)/(7)\cdot7\leq-28\cdot7 \\ c\leq-196 \end{gathered}](https://img.qammunity.org/2023/formulas/mathematics/college/qt40rn1f8va3by05slj6cjftqjxpl233og.png)
Therefore, c can be at most -196.