# How do you solve #-2 + 7x - 3x^2<0#?

##### 1 Answer

Jul 4, 2015

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#### Explanation:

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.

Set

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.

**Solution:**