Solve each inequality, then graph on the number line.
show your work
3p≤-21
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.
To solve the inequality 3p ≤ -21, we need to isolate the variable p.
Step 1: Divide both sides of the inequality by 3 to isolate p.
(3p)/3 ≤ (-21)/3
p ≤ -7
The solution to the inequality is p ≤ -7.
To graph this inequality on a number line, we start by marking the value -7. Since the inequality is inclusive of -7 (less than or equal to), we put a solid dot on -7.
---◾───
Next, we draw an arrow to the left to indicate that all values less than or equal to -7 are solutions to the inequality.
---◾←──
This represents the solution to the inequality 3p ≤ -21 on the number line.