The code for Escape Room is MCYHW.
<h3>Inequalities</h3>
Inequalities is a mathematic expression that do not present equalitiy between both sides. It is represented by symbols: <, ≤, > and ≥.
For solving this exercise, firstly, you should solve the inequalities identified by letters: H, W, M, Y and C. After that, you should relate yours anwers with the options given for the exercise.
![-11x-4 > -15\\ \\ -11x > -15+4\\ \\ -11x > -11\; *(-1)\\ \\ 11x < 11\\ \\ x < 1](https://tex.z-dn.net/?f=-11x-4%20%3E%20-15%5C%5C%20%5C%5C%20-11x%20%3E%20-15%2B4%5C%5C%20%5C%5C%20-11x%20%3E%20-11%5C%3B%20%2A%28-1%29%5C%5C%20%5C%5C%2011x%20%3C%2011%5C%5C%20%5C%5C%20x%20%3C%201)
Therefore, you should connect H with x<1.
![32 > -16x\\ \\ Rewriting \\ \\ -16x < 32 \\ \\ -16x < 32\; *(-1)\\ \\ 16x > -32\\ \\ x > \frac{-32}{16} \\ \\ x > -2](https://tex.z-dn.net/?f=32%20%3E%20-16x%5C%5C%20%5C%5C%20Rewriting%20%5C%5C%20%5C%5C%20-16x%20%3C%2032%20%5C%5C%20%5C%5C%20-16x%20%3C%2032%5C%3B%20%2A%28-1%29%5C%5C%20%5C%5C%2016x%20%3E%20-32%5C%5C%20%5C%5C%20x%20%3E%20%5Cfrac%7B-32%7D%7B16%7D%20%5C%5C%20%5C%5C%20x%20%3E%20-2)
Therefore, you should connect W with x>-2.
![3+x\leq -9\\ \\ x\leq -9-3\\ \\ x\leq -12](https://tex.z-dn.net/?f=3%2Bx%5Cleq%20-9%5C%5C%20%5C%5C%20x%5Cleq%20-9-3%5C%5C%20%5C%5C%20x%5Cleq%20-12)
Therefore, you should connect M with x≤-12.
![-7x+7\leq -56\\ \\-7x\leq -56-7\\ \\ -7x\leq -63\\ \\ -7x\leq -63\; *(-1)\\ \\ 7x\geq 63\\ \\ x\geq \frac{63}{7} \\ \\ x\geq 9](https://tex.z-dn.net/?f=-7x%2B7%5Cleq%20-56%5C%5C%20%5C%5C-7x%5Cleq%20-56-7%5C%5C%20%5C%5C%20-7x%5Cleq%20-63%5C%5C%20%5C%5C%20%20-7x%5Cleq%20-63%5C%3B%20%2A%28-1%29%5C%5C%20%5C%5C%207x%5Cgeq%20%2063%5C%5C%20%5C%5C%20x%5Cgeq%20%5Cfrac%7B63%7D%7B7%7D%20%5C%5C%20%5C%5C%20x%5Cgeq%209)
Therefore, you should connect Y with x≥9.
![-20\geq -5x+15\\ \\Rewriting\\ \\ 5x+15\leq -20\\ \\ -5x\leq -20-15\\ \\ -5x\leq -35\\ \\-5x\leq -35\; *(-1)\\ \\ 5x\geq 35\\ \\ x\geq \frac{35}{5} \\ \\ x\geq 7](https://tex.z-dn.net/?f=-20%5Cgeq%20-5x%2B15%5C%5C%20%5C%5CRewriting%5C%5C%20%5C%5C%205x%2B15%5Cleq%20-20%5C%5C%20%5C%5C%20-5x%5Cleq%20-20-15%5C%5C%20%5C%5C%20-5x%5Cleq%20-35%5C%5C%20%5C%5C-5x%5Cleq%20-35%5C%3B%20%2A%28-1%29%5C%5C%20%5C%5C%205x%5Cgeq%2035%5C%5C%20%5C%5C%20x%5Cgeq%20%5Cfrac%7B35%7D%7B5%7D%20%20%5C%5C%20%5C%5C%20x%5Cgeq%207)
Therefore, you should connect C with x≥7.
Thus, the sequence is:
M - ![x\leq -12](https://tex.z-dn.net/?f=x%5Cleq%20-12)
C - ![x\geq 7](https://tex.z-dn.net/?f=x%5Cgeq%207)
Y- ![x\geq 9](https://tex.z-dn.net/?f=x%5Cgeq%209)
H- ![x < 1](https://tex.z-dn.net/?f=x%20%3C%201)
W- ![x > -2](https://tex.z-dn.net/?f=x%20%3E%20-2)
Read more about inequalities here.
brainly.com/question/25275758