Answer:
n < -5 or n > -3
Explanation:
–5 + 2n >= –11 or –6 – 10n > 44
Solving the left one first
–5 + 2n >= -11
Add 5 to each side
–5+5 + 2n >= –11 +5
2n > -6
Divide by 2
2n/2 >-6/2
n > -3
Now solve the one on the right
–6 – 10n > 44
Add 6 to each side
–6+6 – 10n > 44+6
-10n> 50
Divide by -10. Remember to flip the inequality
-10n/-10 < 50/-10
n < -5
n < -5 or n > -3