Questions: The graph of y=f(x) is given. Solve the inequalities. (a) f(x)<0 The solution set is .

Transcript text: The graph of $y=f(x)$ is given. Solve the inequalities. (a) $f(x)<0$ The solution set is $\square$.

Solution

Solution Steps

Step 1: Identify the intervals where f(x) is negative.

We are looking for the x-values where the graph of $f(x)$ lies below the x-axis (i.e., where the y-values are negative). Observe the graph. The function is negative from $x=-3$ up to $x=5$.

Step 2: Express the solution set as an interval.

Since $f(x) < 0$ between $x=-3$ and $x=5$, but not including these points, we can express this interval as $(-3, 5)$.

Final Answer

$\boxed{(-3,5)}$

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