Question

The graph shown is the solution set for which of the following inequalities?



y ≤ x - 1
y ≤ | x + 1|
y ≤ | x | - 1

Answer 1

In this case the graph represents the following inequality
 y ≤ | x + 1| 

Answer 2

Answer with Step-by-step explanation:

As we can see from the graph when x=0 the shaded region is of y≤1.

We will see which option satisfies y≤1 when x=0.

y ≤ x - 1

when x=0

y≤-1

y ≤ | x + 1|

when x=0

y≤1  

y ≤ | x | - 1

when x=0

y≤-1

Hence, The graph shown is the solution set  is of:

y ≤ | x + 1|