Question

q + 12 - 2 (q - 22) > 0

Answer 1

Let's solve the inequality step by step:

First, distribute the -2 to the terms inside the parentheses:
q + 12 - 2(q - 22) > 0
q + 12 - 2q + 44 > 0

Next, combine like terms:
-q + 56 > 0

To isolate q, subtract 56 from both sides:
-q > -56

Finally, divide both sides by -1, making sure to flip the inequality sign:
q < 56

Therefore, the solution to the inequality q + 12 - 2(q - 22) > 0 is q < 56.