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Solve.
q+12−2(q−22)>0
Solve.
q+12−2(q−22)>0
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Answered by
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.
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.
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