Solve the inequality. Graph and check your solution. p - 3 < 5
Choose the correct answer below.
p > 2
p > 8
p < 8
p < 2
To solve the inequality p - 3 < 5, we can add 3 to both sides to isolate p:
p - 3 + 3 < 5 + 3
p < 8
Therefore, the correct answer is p < 8.
To solve the inequality p - 3 < 5, we need to isolate the variable p.
Adding 3 to both sides of the inequality, we have:
p - 3 + 3 < 5 + 3
This simplifies to:
p < 8
Therefore, the correct answer is "p < 8".
To solve the inequality p - 3 < 5, we need to isolate the variable p on one side of the inequality sign.
Step 1: Add 3 to both sides of the inequality:
p - 3 + 3 < 5 + 3
This simplifies to: p < 8
Therefore, the correct answer is p < 8.
To graph and check the solution, we can draw a number line and mark the value of 8 with an open circle (since the inequality is strict) and shade the region to the left of 8, indicating all values of p that are less than 8.
8----------------------------------o-------------------------------
Choose any value in the shaded region, such as p = 5. Substitute this value into the original inequality:
5 - 3 < 5
2 < 5
Since this is a true statement, our solution is correct.
Hence, p < 8 is the correct answer.