Guided Example #1 - Inequalities

Guided Example

Graph $x + y < 4$ .

The correct answer is C.

$x + y = 4$ . Draw the line dashed since the inequality symbol is <.

Test point (0,0) to determine if it is a solution.
$x + y < 4$
$0 + 0 < 4$
$0 < 4$ TRUE

Since $0 < 4$ is true, we shade the half-plane containing (0, 0) and obtain the graph.

$x + y = 4$ . Draw the line dashed since the inequality symbol is <.

Test point (0,0) to determine if it is a solution.
$x + y < 4$
$0 + 0 < 4$
$0 < 4$ TRUE

Since $0 < 4$ is true, we shade the half-plane containing (0, 0) and obtain the graph.