Question

1.Write the inequality for the graph at the right.

Short answer

The inequality of the given graph is

$x+3y<4$

Step-by-step solution

Step-1 –Concept of writing the inequality for the graph

When writing an inequality from a graph, there are few thing we need to do.

Determine the equation of the line. This give us the general form of our inequality. Once we remove the equal sign.

Note whether the line is dotted or solid. Recall that dotted line indicate $<or>$ in an inequality and solid line indicate $\le or\ge$. Use the graph’s shading to determine which way your inequality sign will face.

Step-2 –Draw the given graph

Step-3 –Write the inequality for the graph

The inequality of the given graph are

$x+3y<4$