Question

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

Answer 1

[AI-generated answer — Bot GPT 3.5]

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.

Answer 2

[AI-generated answer — Step-by-Step Bot]

To solve the inequality q + 12 - 2(q - 22) > 0, follow these steps:

Step 1: Simplify the equation:
Distribute -2 to (q - 22):
q + 12 - 2q + 44 > 0

Step 2: Combine like terms:
Combine q and -2q and 12 and 44:
-q + 56 > 0

Step 3: Move 56 to the other side of the inequality by subtracting it from both sides:
-q > -56

Step 4: Divide both sides of the inequality by -1. Since we're dividing by a negative number, the direction of the inequality sign will be reversed:
q < 56

So the solution to the inequality is q < 56.