How do you solve #-2 + 7x - 3x^2<0#?
One way to solve this inequality is to use a sign chart.
Step 1. Write the inequality in standard form.
Step 2. Multiply the inequality by
Step 3. Find the critical values.
The critical values are
Step 4. Identify the intervals.
The intervals to consider: (
Step 5. Evaluate the intervals.
We pick a test number and evaluate the function and its sign at that number.
Step 6. Create a sign chart for the function.
The only intervals for which the signs are positive are.