Question

Select the inequality of the graph shown below.


y |x + 2| + 1
y |x + 2| + 1
y |x - 2| + 1
y |x - 2| + 1

Answer 1

first put x=2 in every equation.. by graphh u know at x= 2, y is 1, so please check which equations are possible.

Answer 2

Pick a point on the line like nubeers x=2, y=1 and find out which inequality it makes true. This will tell you it's either the 3 or 4th inequality. Then pick a point in the shaded region and see which inequality it makes true.
Say I picked the point (2,2) in the shaded region.
\[(2)\ge|(2)-2|+1\]
so 2 >= 1. Two IS greater than or equal to 1 so chose the one with the greater than or equal to sign.