Mathematics
Grade6
Easy
Question
Identify the inequality statement for the following,
Gabe has 6 more baseball cards than football cards, f. He has fewer than 125 baseball cards.
- f is greater than 119
- f is less than 119
- f is greater than 131
- f is less than 131
Hint:
We shall solve the problem part by part. First, we will construct the inequality based on the combination of both football and baseball cards. Then, we will find the exact inequality by merging the additional information of baseball cards.
The correct answer is: f is less than 119
Step 1 of 3:
It is given that Gabe has 6 more baseball cards than football cards, f. Let the count of baseball cards is denoted by b.
Now, b is 6 more than f and this can be represented by b = 6 + f.
Step 2 of 3:
It is also given that he has fewer than 125 baseball cards. This means b is less than 125, viz., b < 125.
Step 3 of 3:
Now, merging the above information, we get 125 > b = 6 + f.
Therefore, 125 > 6 + f
125 - 6 > f (by subtracting 6 from both sides)
119 > f
f is less than 119
Final Answer:
The correct choice is-- a. f is less than 119.
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