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31 votes
31 votes
Step 1: –10 + 8x < 6x – 4

Step 2: –10 < –2x – 4
Step 3: –6 < –2x
Step 4: ________

What is the final step in solving the inequality –2(5 – 4x) < 6x – 4?

x < –3
x > –3
x < 3
x > 3

User Mattsh
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2.9k points

1 Answer

20 votes
20 votes

Answer:

x < 3

Explanation:

The last step is to divide by -2. When you divide by a negative number you must reverse (flip) the inequality symbol.

-6 < -2x

-6/-2 > -2x/-2

3 > x

This is the same as

x < 3 (see the pointy side pointing at the x and the wide open side facing the 3)

User Jakob Homan
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3.5k points