Solve the inequality for y: -17 + y < -13. Simplify your answer as much as possible.
Understand the Problem
The question asks to solve the inequality for 'y'. This involves isolating 'y' on one side of the inequality by performing algebraic operations.
Answer
$y < 4$
Answer for screen readers
$y < 4$
Steps to Solve
- Isolate $y$
To isolate $y$, we need to get rid of the $-17$ on the left side of the inequality. We can do this by adding $17$ to both sides of the inequality: $$ -17 + y + 17 < -13 + 17 $$
- Simplify the inequality
Now simplify both sides of the inequality: $$ y < 4 $$
$y < 4$
More Information
The solution to the inequality $-17 + y < -13$ is $y < 4$. This means that any value of $y$ that is less than $4$ will satisfy the original inequality.
Tips
A common mistake is forgetting to add $17$ to both sides of the inequality. Remember that whatever operation you perform on one side, you must also perform on the other side to maintain the balance of the inequality.
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