Solve the inequality. Graph and check your solution.
p-3<4
Choose the correct answer below.
p<1
P>7
P>1
P<7
To solve the inequality p - 3 < 4, we can add 3 to both sides of the inequality:
p - 3 + 3 < 4 + 3
This simplifies to:
p < 7
So the correct solution is p < 7.
To graph the solution, we can draw a number line and mark a closed circle at 7, indicating that 7 is not included in the solution. Then, we shade to the left side of 7 to represent all the values that are less than 7.
To check the solution, we can choose any value less than 7, for example, p = 5. If we substitute p = 5 into the inequality, we get:
5 - 3 < 4
2 < 4
The inequality is true, so p = 5 is a valid solution.