Math Problem Statement

The number line below shows information about a variable, p. Select all of the following values that p could take: 3, 9, 4, 0, 1, 5.

Solution

The number line in the image shows that the variable pp can take values less than 4. This includes all values from 0 up to (but not including) 4.

The given possible values are: 3,9,4,0,1,53, 9, 4, 0, 1, 5.

We can now determine which of these values fall in the range p<4p < 4:

  • 33: Yes, 3<43 < 4
  • 99: No, 9>49 > 4
  • 44: No, pp must be strictly less than 4
  • 00: Yes, 0<40 < 4
  • 11: Yes, 1<41 < 4
  • 55: No, 5>45 > 4

Therefore, the possible values that pp could take are: 0, 1, and 3.

Would you like further clarification on any part of this solution?

Here are five related questions you might find interesting:

  1. How can you represent inequalities on a number line?
  2. What does an open circle on a number line mean compared to a closed circle?
  3. How would the answer change if the inequality were p4p \leq 4?
  4. How can inequalities be used in real-world problems?
  5. What is the difference between strict inequalities and non-strict inequalities?

Tip: Always pay attention to whether a number line uses an open or closed circle. An open circle means the value is not included in the solution set.

Ask a new question for Free

By Image

Drop file here or Click Here to upload

Math Problem Analysis

Mathematical Concepts

Inequalities
Number Line Representation

Formulas

-

Theorems

-

Suitable Grade Level

Grades 4-6