Which inequality is equivalent to k ≤ -1/3 or k ≥ 3?
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To find the inequality that is equivalent to k ≤ -1/3 or k ≥ 3, we need to combine these two inequalities using the "or" condition.
First, let's rewrite the inequality k ≤ -1/3 in a different form. We can do this by multiplying both sides of the inequality by -3, which will flip the direction of the inequality:
k*(-3) ≥ (-1/3)*(-3)
-3k ≥ 1
Now we have two inequalities:
-3k ≥ 1 (equivalent to k ≤ -1/3)
k ≥ 3
To combine these two inequalities using the "or" condition, we simply write them next to each other and separate them with the word "or":
-3k ≥ 1 or k ≥ 3
This is our final answer, which is equivalent to k ≤ -1/3 or k ≥ 3.