To solve the inequality q+12-2(q-22) > 0, we need to simplify the expression and solve for q:
First, distribute the -2 to the terms inside the parentheses:
q + 12 - 2q + 44 > 0
Combine like terms:
-q + 56 > 0
Next, subtract 56 from both sides to isolate the variable term:
-q > -56
To get rid of the negative sign in front of q, multiply both sides by -1. Remember, when multiplying or dividing an inequality by a negative number, the direction of the inequality sign must be flipped:
q < 56
The solution to the inequality is q < 56.
q+12-2(q-22) > 0 show your steps
1 answer