# How do you solve #(2x-1)(x+2)(x-4)<=0#?

##### 1 Answer

The inequality holds for

#### Explanation:

Keep in mind the rule for multiplying:

- Positive times positive is positive;
- Positive times negative is negative;
- Negative times positive is negative;
- Negative times negative is positive.

Combining these rules, you can clearly see that a product of factors is negative if and only if there is an odd number of negative factors (in this case, one or all three).

Now,

So, the important points are

Before

Between

Between

After