Question

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Linear Inequalities Quick Check
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Question
Mark has 2 candles. He needs to buy a pack of candles from the store. He needs at least 7 candles for his son's birthday party. Which inequality represents the number of candles he could buy?(1 point)
Responses

x+7≥2
x plus 7 is greater than or equal to 2

x−2≥7
x minus 2 is greater than or equal to 7

x+2≥7
x plus 2 is greater than or equal to 7

2x≥7
2 x is greater than or equal to 7

Answer 1

To represent the situation, we start with the information that Mark has 2 candles and needs at least 7 candles in total for the birthday party.

Let \( x \) represent the number of candles he buys. The total number of candles he will have after buying \( x \) candles is \( x + 2 \).

Since he needs at least 7 candles:

\[
x + 2 \geq 7
\]

We can subtract 2 from both sides to isolate \( x \):

\[
x \geq 5
\]

So the correct inequality that represents the number of candles he could buy is:

**x + 2 ≥ 7**

Thus, the correct answer is:

**x + 2 ≥ 7** (x plus 2 is greater than or equal to 7).