Solve the inequality x/2 > 5.
Understand the Problem
The question is asking to solve the inequality for x. We need to isolate x on one side of the inequality to find the values of x that satisfy x/2 > 5.
Answer
$x > 10$
Answer for screen readers
$x > 10$
Steps to Solve
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Isolate x To isolate $x$, multiply both sides of the inequality by 2. $$ \frac{x}{2} > 5 $$ $$ 2 \cdot \frac{x}{2} > 2 \cdot 5 $$
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Simplify Simplify the inequality. $$ x > 10 $$
$x > 10$
More Information
The solution $x > 10$ means that any value of $x$ greater than 10 will satisfy the original inequality $x/2 > 5$. For example, if $x = 12$, then $12/2 = 6$, which is greater than 5.
Tips
A common mistake is forgetting to multiply both sides of the inequality by 2. Another mistake would be to divide instead of multiplying by 2. Also, some might forget that if you multiply or divide by a negative number, you must flip the inequality sign. However, in this case that is not relevant.
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