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.