Question
Solve and show all steps used.
q+12-2(q-22)>0
q+12-2(q-22)>0
Answers
GPT 3.5
To solve the inequality q + 12 - 2(q - 22) > 0, we first need to simplify the expression inside the parentheses:
q + 12 - 2(q - 22)
= q + 12 - 2q + 44 (distributed the -2 to both terms inside the parentheses)
= -q + 56 (combined like terms)
Now we can rewrite the inequality with the simplified expression:
-q + 56 > 0
To isolate q, we need to get rid of the -q term by adding q to both sides:
-q + q + 56 > 0 + q
56 > q
Therefore, the solution to the inequality is q < 56.
q + 12 - 2(q - 22)
= q + 12 - 2q + 44 (distributed the -2 to both terms inside the parentheses)
= -q + 56 (combined like terms)
Now we can rewrite the inequality with the simplified expression:
-q + 56 > 0
To isolate q, we need to get rid of the -q term by adding q to both sides:
-q + q + 56 > 0 + q
56 > q
Therefore, the solution to the inequality is q < 56.