Question

write the inequality shown by the shaded region in the graph with the boundary line 2x+2y=-6

Answer 1

The boundary line is 2x+2y=-6.

The inequality can be either of th etwo,

$2x+2y\leq-6,2x+2y\ge-6$

Since the portion contaims (0,0).

Putting it in both the inequality ,

we have,

$2\times0+2\times0\leq-6\Rightarrow0\leq-6$

This is not possible . So we reject the first inequality.

Again,

$2\times0+2\times0\ge-6\Rightarrow0\ge-6$

This is possible.

Thus the required inequality is,

$2x+2y\ge-6$