Solve the inequality. q + 12 – 2(q – 22) > 0 q < 56 q > –32 q > 56 q < –32
Mathematics · High School · Tue Nov 03 2020
Answered on
Given the inequality:
q + 12 - 2(q -22) > 0
Solve the inequality.
Solution:
In order to solve for the inequality, we start first with distributing 2 to each value inside the parenthesis, then combine like terms.
q + 12 - 2(q -22) > 0
q + 12 - 2q +44 > 0
-q + 56 > 0
Transpose -q to the other side of the equation, hence it must be taken to note that in transposing a number, the sign changes.
56 > q
Final answer:
56 > q