## Calculus with Applications (10th Edition)

$s\geq4p$
First define your variables s=# of students p=# of professors Now relate the variables to each other by setting them equal $s=p$ However we know that s does not equal p In fact the student body is at least 4 times greater First we will accommodate for the 4 times greater For both sides of the equation to work out the number of professors must be multiplied by 4 to equal the student body which is 4 times larger $s=4p$ Last we must accommodate for the at least The at least tells us that the symbol between both sides of the equation is not an = and is some sort of inequality sign The problem reads "at least four times as many students as professors" Thus the inequality should be a greater than or equal to symbol and open towards s $s\geq4p$