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For which values of x is the inequality 2(1 + x) > x + 8 true? A) 3 & 2 B) 4 & 3 C) 6 & 5 D) 7 & 8 I NEED HELP QUICK 50) POINT GIVEAWAY

User Rovshan
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2 Answers

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2(1+x) \ \textgreater \ x+8

2+2x \ \textgreater \ x+8

2x-x\ \textgreater \ 8-2

x \ \textgreater \ 6

Hence it must be D) 7&8
User PeteWiFi
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4 votes
Hello! And thank you for your question!

2 + 2x > x + 8

First subtract 2 from both sides:

2x > x + 8 - 2

Next simplify x + 8 - 2:

2x > x + 6

Then subtract x:

2x - x > 6

Finally simplify:

x > 6

Final Answer:

x > 6 / D) 7 & 8
User GalacticRaph
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