L has purchased 20 trading cards and wants to have at most 50 trading cards. write and solve an inequality to find the number of trading cards L needs. select all of the true statements.
Let's denote the number of trading cards that L needs as "x". Since L wants to have at most 50 trading cards, we can write the inequality:
20 + x ≤ 50
To solve this inequality, we isolate "x" by subtracting 20 from both sides:
x ≤ 50 - 20
Simplifying:
x ≤ 30
The true statement is:
- L needs at most 30 trading cards.
Let "x" be the number of additional trading cards L needs.
The inequality representing the given situation is 20 + x ≤ 50.
This inequality states that the sum of the number of trading cards L already has (20) and the number of additional trading cards L needs (x) must be less than or equal to 50.
To solve for x, we subtract 20 from both sides of the inequality:
x ≤ 50 - 20
x ≤ 30
The true statements are:
- L needs at most 30 additional trading cards.
- If L already has 20 trading cards, the maximum number of additional trading cards L can have is 30.
- L cannot have more than 50 trading cards in total.
To find the number of trading cards L needs, we can set up an inequality based on the information given.
Let's assume that x represents the number of additional trading cards L needs.
Based on the information provided:
L has already purchased 20 trading cards.
L wants to have at most 50 trading cards.
We can write the inequality as follows:
20 + x ≤ 50
To solve this inequality, we should isolate the variable x.
Subtracting 20 from both sides, we get:
x ≤ 50 - 20
x ≤ 30
Now, let's evaluate the given statements to identify the true ones:
Statement 1: L needs at most 30 additional trading cards.
True: This is the result we obtained by solving the inequality.
Statement 2: L needs at least 30 additional trading cards.
False: The given inequality indicates that L needs at most 30 additional cards, not at least.
Therefore, the true statement is:
- L needs at most 30 additional trading cards.