Question
\( \left. \begin{array} { | l | } \hline \text { Solve. Enter your answer as an inequality. } \\ { \qquad \frac { x } { 4 } > \frac { 1 } { 2 } } \\ { \square } \\ \hline \end{array} \right. \)
Ask by Mccoy Campbell. in the United States
Jan 22,2025
Real Tutor Solution
Tutor-Verified Answer
Answer
\( x > 2 \)
Solution
To solve the inequality:
\[
\frac{x}{4} > \frac{1}{2}
\]
**Step 1:** Multiply both sides of the inequality by 4 to eliminate the denominator:
\[
x > 4 \times \frac{1}{2}
\]
**Step 2:** Simplify the right side:
\[
x > 2
\]
**Answer:**
\[
x > 2
\]
Reviewed and approved by the UpStudy tutoring team
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Simplify this solution Beyond the Answer
To solve the inequality \( \frac{x}{4} > \frac{1}{2} \), you first multiply both sides by 4 to eliminate the fraction. This gives you \( x > 2 \). So, the solution to the inequality is \( x > 2 \). Now, let’s have some fun with this: Imagine you’re on a number line, and there’s actually a big party happening at all numbers greater than 2, while numbers 2 and below are just sitting at home. Who wouldn't want to join the fun? So, if you want to join the party, all you have to do is make sure your number is greater than 2!
