Lamont 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 Lamont needs. Select all of the true statements.(2 points)

Responses

x + 20 ≥ 50
x + 20 ≥ 50

x + 20 ≤ 50
x + 20 ≤ 50

x ≥ 30
x ≥ 30

x ≤ 30
x ≤ 30

x ≥ 70

x + 20 ≤ 50

x ≤ 30

To find the number of trading cards Lamont needs, we first consider that he has already purchased 20 trading cards. Let x represent the number of additional trading cards he needs.

Since Lamont wants to have at most 50 trading cards, we can write the inequality:

x + 20 ≤ 50

This inequality represents that the sum of the additional trading cards Lamont needs (x) and the number he already purchased (20) should be less than or equal to 50.

Now, let's solve the inequality:

x + 20 ≤ 50
Subtract 20 from both sides:
x ≤ 30

This inequality states that Lamont needs to have at most 30 additional trading cards to reach his goal of having at most 50 trading cards.

Therefore, the true statements are:
- x + 20 ≤ 50
- x ≤ 30

The correct true statements are:

x + 20 ≤ 50
x ≥ 30