Question

solve each inequality algebraically.

Answer 1

Step 1 :

The rational inequality is .

State the exclude values, those are the values for which the denominator is zero.

The exclude value of the inequality is 3.

Step 2 :

Solve the related equation .

Solution of related equation .

Step 3 :

Draw the vertical lines at the exclude values and at the solution to separate the number line into intervals.

Step 4 :

Now test sample values in each interval to determine whether the values in the interval satisfy the inequality.

Test interval	- value	Inequality	Conclusion
			True
			False
			True

Step 5 :

Since the original inequality contains a "" symbol, exclude it into set of solutions at .

Since the above statement is true, is a solution of inequality.

Conclude that the inequality is satisfied for all - values in and .

Solution of the inequality is .

Solution :

Solution of the inequality is .