Final answer:
The expression '-y -2> with a line under it - 13' represents the inequality '-y - 2 ≤ -13', meaning 'y' must be greater than or equal to 11 after solving the inequality by adding 2 to both sides and multiplying by -1.
Step-by-step explanation:
The student's question 'what does -y -2> with a line under it - 13 mean' seems to be inquiring about the meaning of an inequality expression in mathematics. When translated into a standard mathematical expression, it would likely represent '-y - 2 ≤ -13'. This is an inequality which includes a 'greater than or equal to' sign, denoted by '≥', but in this case, since it is '-2' on the left, it is actually 'less than or equal to', denoted by '≤' after considering the negative sign.
To solve this inequality, one must isolate the variable 'y' as follows:
- Add 2 to both sides of the inequality: -y ≤ -11.
- Multiply both sides by -1 and remember to reverse the inequality symbol: y ≥ 11 (because multiplying or dividing both sides of an inequality by a negative number reverses the inequality).
This tells us that the value of 'y' must be greater than or equal to 11 according to the rules of inequalities.