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Answer :
To find out how much more you need to save to buy the video game, you can set up an inequality. Let's break it down:
1. Identify what you know:
- You already have saved [tex]$25.
- You need at least $[/tex]60 to buy the video game.
2. Set up the inequality:
You need to determine how much more money, represented by [tex]\( n \)[/tex], you need to save. Since you want the total amount of money (your savings plus what you still need) to be at least [tex]$60, the mathematical inequality looks like this:
\[
n + 25 \geq 60
\]
This inequality states that the amount you already have plus the additional amount you need to save should be greater than or equal to $[/tex]60.
3. Solve for [tex]\( n \)[/tex]:
To find out how much more you need to save, subtract 25 from both sides of the inequality:
[tex]\[
n + 25 - 25 \geq 60 - 25
\][/tex]
Simplifying, we get:
[tex]\[
n \geq 35
\][/tex]
Thus, you need to save at least $35 more to be able to purchase the video game. Hence, the correct inequality is [tex]\( n + 25 \geq 60 \)[/tex].
1. Identify what you know:
- You already have saved [tex]$25.
- You need at least $[/tex]60 to buy the video game.
2. Set up the inequality:
You need to determine how much more money, represented by [tex]\( n \)[/tex], you need to save. Since you want the total amount of money (your savings plus what you still need) to be at least [tex]$60, the mathematical inequality looks like this:
\[
n + 25 \geq 60
\]
This inequality states that the amount you already have plus the additional amount you need to save should be greater than or equal to $[/tex]60.
3. Solve for [tex]\( n \)[/tex]:
To find out how much more you need to save, subtract 25 from both sides of the inequality:
[tex]\[
n + 25 - 25 \geq 60 - 25
\][/tex]
Simplifying, we get:
[tex]\[
n \geq 35
\][/tex]
Thus, you need to save at least $35 more to be able to purchase the video game. Hence, the correct inequality is [tex]\( n + 25 \geq 60 \)[/tex].
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