Question

Solve the following compound inequality. Write your answer in interval notation or state that there is no solution.

3k+2<= -7 or 5k-3>17

Answer 1

Solve both inequalities for the interval where \(k\) exists
Solving the first equation, we see that \(3k \leq -9\)
So we have that \(k \leq -3\)

Now do the same for the second equation. After you get the answer, ask yourself if there is any k that would satisfy both conditions. If there is such a value, find it; if not, there is no solution.