## Solving inequalities using equivalent transformations

- Conversion, guaranteeing the preservation of the right of equality
- Checking the roots by substitution into the original inequality

## Solving equations using the method of intervals

- Find odz.
- Find the zeros of the function:
- Note the zeros at DHS and find the sign of the function f(x) in each interval, which split the DHS.
- Record the response given the sign of the given inequality.

## The solution of inequalities. The method of intervals.

- Find odz.
- Find the zeros of the function:
- Note the zeros at DHS and find the sign of the function f(x) in each interval, which split the DHS.
- Record the response given the sign of the given inequality.

### Example 1.

Rozwarte inequality:

*Rozwiazania.* Let

- DHS: therefore .
- The zeros of the function:

### Example 2.

Indicate the smallest integer that is rozvyazka bumps

*Rozwiazania.* Solve this inequality by the method of intervals.

DHS:

Find the zeros of the function: or

Then or .

Depicted zeros and DHS and find a sign function on each interval.

Then, the solution to this inequality Therefore, the smallest integer that is rozvyazka this inequality is the number

Answer: