Solve the inequality: y + 5 < 8
Understand the Problem
The question asks you to solve the inequality y + 5 < 8 for y. This involves isolating 'y' by subtracting 5 from both sides of the inequality.
Answer
$y < 3$
Answer for screen readers
$y < 3$
Steps to Solve
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Isolate $y$ We are given the inequality $y + 5 < 8$. To isolate $y$, we subtract 5 from both sides of the inequality: $y + 5 - 5 < 8 - 5$
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Simplify the Inequality Simplifying both sides of the inequality, we get: $y < 3$
$y < 3$
More Information
The solution to the inequality $y + 5 < 8$ is $y < 3$. This means any value of $y$ that is less than 3 will satisfy the original inequality. For example, if $y = 2$, then $2 + 5 = 7$, which is less than 8.
Tips
A common mistake is forgetting to subtract from both sides of the inequality. For instance, some might only subtract 5 from the left side, leading to an incorrect result. Remember to perform the same operation on both sides to maintain the inequality.
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