Answer :
Let's solve this problem step by step:
1. Understand the Problem:
- Steven has 55 baseball cards.
- Together, Steven and Lucas have more than 71 baseball cards.
2. Define the Variable:
- Let [tex]\( b \)[/tex] represent the number of baseball cards Lucas has.
3. Set Up the Inequality:
- Since together they have more than 71 cards, we can express this with the inequality:
[tex]\[
55 + b > 71
\][/tex]
- Here, 55 represents the number of cards Steven has, and [tex]\( b \)[/tex] is the number of cards Lucas has.
4. Choose the Correct Option:
- From the given options, we compare each one:
- A. [tex]\( 55 - b > 71 \)[/tex] does not match because it subtracts [tex]\( b \)[/tex].
- B. [tex]\( 55 + b > 71 \)[/tex] matches our derived inequality.
- C. [tex]\( b > 55 + 71 \)[/tex] is incorrect because it adds 71 after the inequality.
- D. [tex]\( 55 + b < 71 \)[/tex] suggests fewer cards together, which is the opposite condition.
Thus, the correct inequality representing the total number of baseball cards Steven and Lucas have is [tex]\( 55 + b > 71 \)[/tex], which corresponds to option B.
1. Understand the Problem:
- Steven has 55 baseball cards.
- Together, Steven and Lucas have more than 71 baseball cards.
2. Define the Variable:
- Let [tex]\( b \)[/tex] represent the number of baseball cards Lucas has.
3. Set Up the Inequality:
- Since together they have more than 71 cards, we can express this with the inequality:
[tex]\[
55 + b > 71
\][/tex]
- Here, 55 represents the number of cards Steven has, and [tex]\( b \)[/tex] is the number of cards Lucas has.
4. Choose the Correct Option:
- From the given options, we compare each one:
- A. [tex]\( 55 - b > 71 \)[/tex] does not match because it subtracts [tex]\( b \)[/tex].
- B. [tex]\( 55 + b > 71 \)[/tex] matches our derived inequality.
- C. [tex]\( b > 55 + 71 \)[/tex] is incorrect because it adds 71 after the inequality.
- D. [tex]\( 55 + b < 71 \)[/tex] suggests fewer cards together, which is the opposite condition.
Thus, the correct inequality representing the total number of baseball cards Steven and Lucas have is [tex]\( 55 + b > 71 \)[/tex], which corresponds to option B.
