Question
Upstudy AI Solution
Tutor-Verified Answer
Answer
\( x > 2 \)
Solution
1. Write the inequality as given:
\[
7 - 5 < x
\]
2. Simplify the left side:
\[
7 - 5 = 2
\]
So the inequality becomes:
\[
2 < x
\]
3. The inequality \(2 < x\) means that:
\[
x > 2
\]
Thus, the solution is:
\[
x > 2
\]
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Simplify this solution Beyond the Answer
Let's break it down: when you solve \( 10 - 7 - 5 < x \), you're simplifying it all! First, calculate \( 10 - 7 \), which is 3, then you have \( 3 - 5 \) resulting in -2. So now, we rewrite the inequality as \( -2 < x \). This means that \( x \) needs to be any number greater than -2! In real-world terms, think of this as needing to score at least 1 point to win a game after a huge deficit! If you're starting at -2, any score greater than that puts you ahead. So if you score 0, 1, or even 10 points, you're winning! Keep that in mind when strategizing your next move.
