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4 votes
Solve the following inequality: 55-5q > 4 (7-q)

User MoiioM
by
3.8k points

2 Answers

2 votes
27>q
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User Joviallix
by
4.5k points
6 votes

Answer:

27 > q

Explanation:

Solving an algebraic inequality is very similar to solving an algebraic equation, one uses inverse operations. One major difference between the two is that when one multiplies or divides an algebraic inequality by a negative number, one must remember to flip the inequality sign.

55 - 5q > 4 ( 7 - q )

Distribute,

55 - 5q > 28 - 4q

Inverse operations,

55 - 5q > 28 - 4q

+5q +5q

55 > 28 + q

-28 -28

27 > q

User Antero
by
3.8k points