Solve the inequality x-5 > 8 for x.
Understand the Problem
The question is asking to solve the inequality x-5 > 8 for x. This involves isolating x on one side of the inequality to find the range of values that satisfy the condition. This is a simple one-step algebraic inequality.
Answer
$x > 13$
Answer for screen readers
$x > 13$
Steps to Solve
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Isolate x To isolate $x$, add 5 to both sides of the inequality: $$x - 5 + 5 > 8 + 5$$
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Simplify Simplify both sides of the inequality: $$x > 13$$
$x > 13$
More Information
The solution $x > 13$ means any value of $x$ greater than 13 will satisfy the original inequality $x - 5 > 8$. For example, if $x = 14$, then $14 - 5 = 9$, which is greater than 8.
Tips
A common mistake is to perform the incorrect operation (e.g., subtracting instead of adding) when isolating the variable. Another mistake is forgetting to perform the operation on both sides of the inequality, which would not maintain the balance of the inequality.
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