Complete the comparison: [tex]$3+7\ \textgreater \ $[/tex] ?
A) [tex]$10-2$[/tex]
B) [tex]$9+4$[/tex]
C) [tex]$8+2$[/tex]
D) [tex]$7+3$[/tex]
Answer (1)
Calculate the value of 3 + 7 , which is 10.
Evaluate each option: A) 10 − 2 = 8 , B) 9 + 4 = 13 , C) 8 + 2 = 10 , D) 7 + 3 = 10 .
Compare each option to 10 and identify the option that is less than 10.
Option A, 10 − 2 = 8 , is the only option less than 10, so the answer is A .
Explanation
Understanding the Problem We are given the inequality ?"> 3 + 7 > ? and four options. We need to determine which option has a value less than 3 + 7 .
Calculating the Left Side First, let's calculate the value of the left side of the inequality: 3 + 7 = 10 .
Evaluating the Options Now, let's evaluate each of the options:
A) 10 − 2 = 8 B) 9 + 4 = 13 C) 8 + 2 = 10 D) 7 + 3 = 10
Comparing and Selecting We need to find the option whose value is less than 10. Comparing the values, we see that:
A) 8 < 10 B) 10"> 13 > 10 C) 10 = 10 D) 10 = 10
Only option A satisfies the inequality.
Final Answer Therefore, the correct answer is A) 10 − 2 .
Examples
Imagine you have 10 cookies and you want to give away some of them. This problem helps you determine which of the given amounts you can give away so that you still have more than the others. Understanding inequalities helps in everyday situations like managing resources, comparing quantities, and making decisions based on available information.
