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Solve. Show your work.

Solve. Show your work.-example-1

2 Answers

1 vote

Answer:

q < 56

Explanation:

q + 12 - 2(q - 22) > 0

q + 12 - 2q + 44 > 0

-q + 56 > 0

+q +q

56 > q

User Moode Osman
by
8.0k points
4 votes

Explanation:

Isolate the variable, q. Remember to follow PEMDAS.

First, distribute -2 to all terms within the parenthesis:

-2(q - 22) = (-2)(q) + (-2)(-22) = -2q + 44

q + 12 - 2q + 44 > 0

Simplify. Combine like terms.

q - 2q + 12 + 44 > 0

-q + 56 > 0

Isolate the variable, q. First, subtract 56 to both sides.

-q + 56 (-56) > 0 (-56)

-q > - 56

Isolate the variable q. Divide -1 from both sides. Note that when dividing a negative number, you must flip the sign.

(-q)/-1 > (-56)/-1

q < 56

q < 56 is your answer.

~

User Karl Anderson
by
8.2k points

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