Solve the inequality for t: 24 < t + 9
Understand the Problem
The question asks to solve the inequality 24 < t + 9 for the variable 't' and simplify the answer.
Answer
$t > 15$
Answer for screen readers
$t > 15$
Steps to Solve
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Isolate the variable 't' To solve the inequality $24 < t + 9$ for $t$, we need to isolate $t$ on one side of the inequality. We can do this by subtracting 9 from both sides of the inequality.
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Subtract 9 from both sides Subtracting 9 from both sides gives us: $24 - 9 < t + 9 - 9$
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Simplify both sides Simplifying both sides of the inequality, we get: $15 < t$
So, the solution to the inequality is $15 < t$, which can also be written as $t > 15$.
$t > 15$
More Information
The solution $t > 15$ means that any value of $t$ greater than 15 will satisfy the original inequality $24 < t + 9$. For example, if $t = 16$, then $24 < 16 + 9$, which simplifies to $24 < 25$, which is true.
Tips
A common mistake is to subtract 9 from only one side of the inequality, which would lead to an incorrect solution. Remember to perform the same operation on both sides to maintain the balance of the inequality. Another common mistake is to get the inequality sign facing the wrong direction after the subtraction.
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