math help!!

Question

graph inequalify 3x+2y-8>0. make sure use test point.

Answer 1

Step 1 :

The inequality is .

Express the inequality as in terms of .

Thus, the inequality is .
Step 2 :

(1). Draw the co-ordinate plane.

(2). The graph of the inequality   is the shaded region, where every point in the shaded region satisfies the inequality.

(3). The graph of the equation   is the boundary of the region. Since the inequality symbol is >, the boundary is drawn as a dotted line to show that points on the line satisfies the inequality and the shaded region of the graph of   is the solutions to the inequality.

(4). To determine which half-plane to be shaded use a test point in either half-plane.

A simple choice is .

Substitute  and  in .

The statement is false.

Since the statement is false, shade the region that does not contains the point .

Graph :

Solution :

The graph of the inequality is :