Question

question
solve the following inequality for k. write your answer in simplest form.
2k - 7 < 7k + 6
answer attempt 1 out of 5
k <
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Explanation:

Step1: Subtract \(2k\) from both sides

To isolate the terms with \(k\), we subtract \(2k\) from both sides of the inequality \(2k - 7<7k + 6\). This gives \(-7<5k + 6\).

Step2: Subtract 6 from both sides

Next, we subtract 6 from both sides to get the term with \(k\) alone. So, \(-7-6 < 5k\), which simplifies to \(-13<5k\).

Step3: Divide by 5

Now, we divide both sides by 5 to solve for \(k\). We get \(\frac{-13}{5}-\frac{13}{5}\).

Answer:

\(k>-\dfrac{13}{5}\)