Find a linear inequality with the following solution set. Each grid line represents one unit.
Note that if we had a solid line, the points (3, -4) and (4, -3) would lie on the line
The slope of this line is ( -3 - -4) / ( 4 -3) = 1/1 = 1
And the equation of this line would be y = (1) ( x - 3) - 4 ⇒ y = x - 7
But....since we have a dashed line....we have that either
y < x -7 or y > x -7
Sincs (0,0) is in hte shaded area, sub the cooordinates into each equation to see which is true
0 < 0 - 7 0 > 0 - 7
0 < -7 0 > - 7
And it's clear that y > x - 7 is the correct answer