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Solve the inequality: 2k - 4 > -6k - 7.

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Final answer:

To solve the inequality 2k - 4 > -6k - 7, move all the k terms to one side and isolate k. The solution is k > -3/8.

Step-by-step explanation:

To solve the inequality 2k - 4 > -6k - 7, we want to isolate k on one side of the inequality symbol. First, let's move all the k terms to one side by adding 6k to both sides:

2k + 6k - 4 > -7

Combining like terms:

8k - 4 > -7

Next, add 4 to both sides:

8k > -7 + 4

8k > -3

Finally, divide both sides by 8:

k > -3/8

Therefore, the solution to the inequality is k > -3/8.

User Baqir Khan
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