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Answer :
- Subtract 7 from both sides of the inequality: $x + 7 - 7 > 15 - 7$.
- Simplify the inequality: $x > 15 - 7$.
- Calculate the difference: $15 - 7 = 8$.
- State the solution: $x > 8$. The solution to the inequality is $\boxed{x > 8}$.
### Explanation
1. Understanding the Inequality
We are given the inequality $x+7>15$ and we want to find all values of $x$ that satisfy this inequality.
2. Isolating x
To isolate $x$, we need to subtract 7 from both sides of the inequality. This gives us: $$x+7-7 > 15-7$$
3. Simplifying the Inequality
Simplifying both sides, we get: $$x > 8$$
4. Stating the Solution
Therefore, the solution to the inequality is all values of $x$ that are greater than 8.
### Examples
Imagine you're saving money for a new video game that costs $15. You already have $7 saved. The inequality x + 7 > 15 helps you determine how much more money (x) you need to save to be able to buy the game. In this case, you need to save more than $8.
- Simplify the inequality: $x > 15 - 7$.
- Calculate the difference: $15 - 7 = 8$.
- State the solution: $x > 8$. The solution to the inequality is $\boxed{x > 8}$.
### Explanation
1. Understanding the Inequality
We are given the inequality $x+7>15$ and we want to find all values of $x$ that satisfy this inequality.
2. Isolating x
To isolate $x$, we need to subtract 7 from both sides of the inequality. This gives us: $$x+7-7 > 15-7$$
3. Simplifying the Inequality
Simplifying both sides, we get: $$x > 8$$
4. Stating the Solution
Therefore, the solution to the inequality is all values of $x$ that are greater than 8.
### Examples
Imagine you're saving money for a new video game that costs $15. You already have $7 saved. The inequality x + 7 > 15 helps you determine how much more money (x) you need to save to be able to buy the game. In this case, you need to save more than $8.
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