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Solve -7-5(-4c + 4) < (-7c + 8) -3

User Enessa
by
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1 Answer

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After distributing, rearranging, and simplifying the inequality, the solution is c < 32/27.

We can solve the inequality by distributing the terms, subtracting the numbers, rearranging the terms, adding/subtracting to both sides, simplifying, and dividing both sides by the same factor.

Distribute the terms:

-7 + 20c - 20 < (-7c + 8) - 3

Subtract the numbers:

20c - 27 < -7c + 5

Rearrange terms:

20c - 27 < -7c + 5

Subtract the numbers:

20c - 27 < -7c + 5

Add/subtract to both sides:

20c - 27 + 27 < -7c + 5 + 27

Simplify:

20c < -7c + 32

Add/subtract to both sides:

20c + 7c < -7c + 32 + 7c

Simplify:

27c < 32

Divide both sides of the inequality by the same factor:

(27c / 27) < (32 / 27)

Simplify:

c < 32/27

User Cali
by
8.3k points

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