To solve the inequality, we can simplify the expression and then isolate the variable q.
First, let's distribute the negative sign to the terms inside the parentheses:
q + 12 - 2q + 44 > 0
Next, combine like terms:
-q + 56 > 0
Now, let's isolate q by subtracting 56 from both sides:
-q > -56
Remember that when we multiply or divide an inequality by a negative number, we need to reverse the inequality sign. So, when we divide both sides by -1, we reverse the inequality:
q < 56
Therefore, the solution to the inequality q + 12 - 2(q - 22) > 0 is q < 56.
Note: Enter your answer and show all the steps that you use to solve this problem in the space provided.
Solve.
q+12−2(q−22)>0
1 answer