Hi there!
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I believe your answer is:
k = 0
The solution to the inequality is: [tex]k < 1[/tex]
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Here’s why:
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[tex]6>2k+ 4\\------------\\\rightarrow 6 - 4 >2k + 4 - 4\\\\\rightarrow 2 > 2k\\\\\rightarrow\frac{2>2k}{2}\\\\\rightarrow 1 > k\\\\\rightarrow \boxed{k < 1}[/tex]
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Any answer in which k is less than one would be a solution.
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The only option less than one is k = 0.
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Hope this helps you. I apologize if it’s incorrect.