,

Move all terms not containing to the right side of the inequality.

Add to both sides of the inequality.

and

Add and .

and

and

Divide each term by and simplify.

Divide each term in by .

and

Cancel the common factor of .

Cancel the common factor.

and

Divide by .

and

and

Divide by .

and

and

and

Move all terms not containing to the right side of the inequality.

Add to both sides of the inequality.

and

Add and .

and

and

Divide each term by and simplify.

Divide each term in by . When multiplying or dividing both sides of an inequality by a negative value, flip the direction of the inequality sign.

and

Cancel the common factor of .

Cancel the common factor.

and

Divide by .

and

and

Divide by .

and

and

and

The intersection consists of the elements that are contained in both intervals.

The result can be shown in multiple forms.

Inequality Form:

Interval Notation:

Find the Intersection (and) 3x-4>5 , -8x-19<21