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

Question

Select all that are true
x+20>=50
x+ 20<=50
x>=30
x<=30
x>=70

Answer 1

To find out how many additional trading cards Lamont needs to buy to have at least 50 trading cards, we can set up an inequality.

Let \( x \) represent the number of additional trading cards Lamont needs to purchase. Since he has already purchased 20 cards, the inequality can be set up as follows:

\[ x + 20 \geq 50 \]

Now, we can solve this inequality:

1. Subtract 20 from both sides: \[ x \geq 50 - 20 \] \[ x \geq 30 \]

Now, let's evaluate the provided options in light of this inequality:

• \( x + 20 \geq 50 \): True (This is the correct inequality.)
• \( x + 20 \leq 50 \): False (This would mean less than 50 cards in total, which is not what Lamont wants.)
• \( x \geq 30 \): True (This is the solution we found.)
• \( x \leq 30 \): False (This contradicts the solution we found.)
• \( x \geq 70 \): False (This is also not true based on our solution.)

So the true statements are:

• \( x + 20 \geq 50 \)
• \( x \geq 30 \)