Let's begin by identifying key information given to us:
[tex]\begin{gathered} -5x+7\le22 \\ -5y\le22-7 \\ -5y\le15 \\ Divide\text{ both sides by ''-5'', we have:} \\ y\le-\frac{15}{5} \\ y\le-3 \end{gathered}[/tex]
We will proceed to draw the number line below
y is lesser than or equal to 3; this means the direction of the arrow is towards the left
The lesser than or equal to symbol is denoted by a closed circle
We thus have the diagram as shown below:
Hence, the correct answer is c)
