A graph that shows the solution set for -7p + 3 < -60 is shown on the number line in the image below.
In Mathematics, an inequality is a relation that compares two or more numbers and variables in an algebraic equation based on any of the following inequality symbols:
- Less than or equal to (≤).
- Greater than (>).
- Greater than or equal to (≥).
- Less than (<).
Based on the information provided, we can logically deduce that solution set is given by;
-7p + 3 < -60
-7p + 3 + 60 < -60 + 60
-7p + 63 < 0
7p > 63
p > 9
Therefore, the solution set is x > 9, which means a hollow dot would be placed at hollowed point 9 on the number line with an arrow that increases to the right as correctly depicted by the graph below.