Solve the inequality for y: -17 + y < -13
Understand the Problem
The question asks to solve the linear inequality -17 + y < -13 for the variable 'y'. We need to isolate 'y' and simplify the expression as much as possible to find the solution set for y.
Answer
$y < 4$
Answer for screen readers
$y < 4$
Steps to Solve
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Isolate y To isolate $y$, we need to add 17 to both sides of the inequality: $$ -17 + y < -13 $$ $$ -17 + y + 17 < -13 + 17 $$
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Simplify Simplifying both sides of the inequality: $$ y < 4 $$
$y < 4$
More Information
The solution to the inequality $-17 + y < -13$ is $y < 4$. This means any value of $y$ less than 4 will satisfy the original inequality.
Tips
A common mistake is forgetting to add the constant to both sides of the inequality, or performing the operation on only one side. Another common mistake is changing the direction of the inequality sign when it is not necessary (we only change the direction of the inequality if we multiply or divide both sides by a negative number).
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