Answer: Choice A) 9
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Explanation:
We have some variable r that we divide over 3, and then we add on 5. Note the order of operations PEMDAS says to divide first and then add (since D comes before A in PEMDAS).
When we isolate r, we follow PEMDAS in reverse and undo everything. We undo addition by subtracting 5 from both sides
[tex]\frac{r}{3} + 5 \le 8\\\\\frac{r}{3} + 5-5 \le 8-5\\\\\frac{r}{3} \le 3\\\\[/tex]
Then we undo the division happening to r. So we multiply both sides by 3
[tex]\frac{r}{3} \le 3\\\\3*\frac{r}{3} \le 3*3\\\\r \le 9\\\\[/tex]
Since r is less than or equal to 9, this means that r could be 9 or smaller
Only choice A applies.
