Question

Can someone help with this math question

Answer 1

This is a problem of region. As shown in the figure, we have straight lines. We know that the equation for non-vertical lines is often given in the slope-intercept form by:
$y=mx+b$

being m the slope of the line and b the y-intercept of it.

On the other hand, if x = 0 then y = b.

We will order the equations above without inequalities like this:

$y=-x-6$

So, the G and J are straight lines with negative slope. We need to find the one that matches the inequality. Taking a point, for example (0, 0), we will analyze Figure J, so in the inequality:

$0+0\ \textless \ -6$

This is false, so this statement doesn't match the Figure J. Therefore, the answer is G.