Math Problem Statement

Graph the given set on the number line: {4/5, 1/2}. Choose the correct graph below.

Solution

The question asks you to "Graph the given set on the number line," where the set is represented by the matrix (4152)\begin{pmatrix} 4 & 1 \\ 5 & 2 \end{pmatrix}. To interpret this, it likely refers to graphing the elements of the set {45,12}\{ \frac{4}{5}, \frac{1}{2} \} on the number line.

Let's break down the elements:

  1. 45=0.8\frac{4}{5} = 0.8
  2. 12=0.5\frac{1}{2} = 0.5

Now we need to identify which of the graphs correctly marks these two values on a number line.

  • Option A: This graph has points marked around 0.8 and 0.5.
  • Option B: Points seem equally spaced, possibly incorrect.
  • Option C: Same issue as B.
  • Option D: Points likely not at 0.8 and 0.5.

Thus, Option A is the correct answer since it places the two points correctly around 0.8 and 0.5.

Would you like more details on interpreting sets or graphing? Here are some related questions:

  1. What other forms can a set be written in?
  2. How do you graph fractions on a number line?
  3. How are matrices interpreted in basic math problems?
  4. What are some ways to estimate fractions on a number line?
  5. Can you explain the concept of rational numbers?

Tip: When graphing fractions on a number line, converting them to decimals can often make positioning them easier.

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Math Problem Analysis

Mathematical Concepts

Number Line
Fractions
Graphing

Formulas

Converting fractions to decimals: 4/5 = 0.8, 1/2 = 0.5

Theorems

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Suitable Grade Level

Grades 6-8