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Solution:
Given 3q + 11 + 8q > 99.
This is a linear inequality
⇒ 11q + 11 > 99
⇒ 11(q + 1) > 99
⇒ q + 1 > 9
⇒ q > 9 - 1
⇒ q > 8
Summary:
By solving 3q + 11 + 8q > 99, we get q > 8