2 of 172 of 17 Items

Question

Question
Choose the correct description of the number set.(4 points)
Put responses in the correct input to answer the question. Select a response, navigate to the desired input and insert the response. Responses can be selected and inserted using the space bar, enter key, left mouse button or touchpad. Responses can also be moved by dragging with a mouse.
(√2 , √5 , 𝛑 )
(-7.4, 0, 3.232323..., √25 )
(-⅚ , ⅞ , π/2 )
(√8 , √9 , √10 )

Answer 1

To analyze the given sets, we first need to identify the nature of each number in each set.

1. (√2, √5, π)

   • All numbers are irrational. √2 and √5 are square roots of non-perfect squares, and π is a well-known irrational number.

2. (-7.4, 0, 3.232323...)

   • The numbers are a mix of decimal (−7.4), whole number (0), and repeating decimal (3.232323...). Here, 3.232323... is a rational number.

3. (-⅚, ⅞, π/2)

   • The first two numbers (-⅚ and ⅞) are rational, while π/2 is irrational.

4. (√8, √9, √10)

   • √8 and √10 are irrational, but √9 is 3, which is rational.

Based on the analysis, each set can be described as follows:

1. Set 1: All members are irrational.
2. Set 2: Contains rational and irrational numbers.
3. Set 3: Contains both rational and irrational numbers.
4. Set 4: Contains both rational and irrational numbers.

Thus, from the logical breakdown, the set descriptions can be matched as desired. If the task requires picking a specific description overall, the first set that may resonate with purely containing rational or irrational numbers is the interpretation it can be broken down into.

Please specify if you need further clarity or categorization among the options presented!