Question
show your steps
solve q+12-2(q-22)>0
solve q+12-2(q-22)>0
Answers
GPT 3.5
To solve the inequality q + 12 - 2 (q - 22) > 0, follow these steps:
1. Distribute the -2 into the parentheses: q + 12 - 2q + 44 > 0
(This gives us -2q + 44 instead of -2(q - 22))
2. Simplify the equation: -q + 56 > 0
(Combine q and -2q, and combine 12 and 44 to get 56)
3. Move the constant term to the other side: -q > -56
(Subtract 56 from both sides)
4. Multiply both sides of the equation by -1: q < 56
(When multiplying or dividing by -1, the inequality changes direction)
So, the solution to the inequality q + 12 - 2(q - 22) > 0 is q < 56.
1. Distribute the -2 into the parentheses: q + 12 - 2q + 44 > 0
(This gives us -2q + 44 instead of -2(q - 22))
2. Simplify the equation: -q + 56 > 0
(Combine q and -2q, and combine 12 and 44 to get 56)
3. Move the constant term to the other side: -q > -56
(Subtract 56 from both sides)
4. Multiply both sides of the equation by -1: q < 56
(When multiplying or dividing by -1, the inequality changes direction)
So, the solution to the inequality q + 12 - 2(q - 22) > 0 is q < 56.