Question
4. \( 4 x-7<9 \)
Ask by Wyatt Pritchard. in the United States
Jan 27,2025
Real Tutor Solution
Tutor-Verified Answer
Answer
\( x < 4 \)
Solution
To solve the inequality \( 4x - 7 < 9 \), follow these steps:
1. **Add 7 to both sides** to isolate the term with \( x \):
\[
4x - 7 + 7 < 9 + 7
\]
Simplifying both sides:
\[
4x < 16
\]
2. **Divide both sides by 4** to solve for \( x \):
\[
\frac{4x}{4} < \frac{16}{4}
\]
Simplifying:
\[
x < 4
\]
**Solution:** \( x < 4 \)
Reviewed and approved by the UpStudy tutoring team
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Simplify this solution Mind Expander
To solve the inequality \(4x - 7 < 9\), start by adding \(7\) to both sides. This gives you \(4x < 16\). Now, divide both sides by \(4\) to isolate \(x\), leading to \(x < 4\). So, any value of \(x\) that is less than \(4\) will satisfy the inequality! Now, remember that when solving inequalities, flipping the direction of the sign is only necessary if you multiply or divide by a negative number! A common mistake is to overlook this, which can lead to incorrect solutions. Always double-check the signs when performing operations!
