Question

Solve each inequality, then graph on the number line.
show your work
3p≤-21

Answer 1

To solve for p, we want to isolate the variable, so we divide both sides by 3:

3p/3 ≤ -21/3

p ≤ -7

To graph on the number line, we plot a closed circle at -7 and shade to the left of the circle to represent all the values that are less than or equal to -7.

[-8]---[-7]====================>

The solution is:

p ≤ -7, or

The set of all real numbers less than or equal to -7.