Question

Graph the given inequality.

2x + y ≥ 6

Answer 1

Step 1:

The inequality is .

Consider .

Subtract from each side.

.

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

Since the inequality symbol is , the boundary is drawn as a solid line to show that points on the line satisfies the inequality and the shaded region along with the solid line of the graph of   is the solutions to the inequality.

Step 2:

Graph:

Graph the inequality .

Shade the required region.

Note : The solid line indicates that line satisfies the inequality.

Solution:

The graph of the inequality is