Question

Lamont has purchased 20 trading cards and wants to have at least 50 trading cards. Write and solve an inequality to find the number of trading cards Lamont needs. Select all of the true statements.

a. x+20 ≥ 50
b. x+20 ≤ 50
c. x ≥ 30
d. x ≤ 30
e. x ≥ 70

Answer 1

The correct statements from the options are (a) & (c). Lamont needs to purchase at least 30 more trading cards to have a total of 50. The correct inequality representing this situation is x + 20 ≥ 50, which solves to x ≥ 30.

Step-by-step explanation:

Lamont has purchased 20 trading cards and wants to have at least 50 trading cards. We can write an inequality to represent the number of trading cards, x, that Lamont needs to buy to reach his goal:

x + 20 ≥ 50

Now, to solve this inequality, we subtract 20 from both sides:

x ≥ 50 - 20

x ≥ 30

Lamont needs to buy at least 30 more cards to have 50 cards in total. The correct statements from the options are:

x + 20 ≥ 50 (a)

x ≥ 30 (c)