Final answer:
To solve the inequality (x-4)(x+3) < 0, find the intervals where the expression is negative and the intersecting intervals.
Step-by-step explanation:
To solve the inequality (x-4)(x+3) < 0, we can use the concept of interval notation. In this case, we need to find the intervals where the expression is negative.
Let's consider the factors: (x-4) and (x+3)
When (x-4) < 0, x < 4, and when (x+3) > 0, x > -3. We need to find the intersection of these two intervals, which is (-3, 4).
Therefore, the solution to the inequality (x-4)(x+3) < 0 is x < -3 or x > 4.