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

y≥|x-1|
The lines represented are the line y=x-1 and the line y=x-1 itself in the positive section of the graph (absolute value).

Answer 2

Answer:

The correct option is C) $y\geq |x+1|$

Step-by-step explanation:

The graph of $y=|x|$ is shown in figure-1

In option (1) $y\geq x+1$  .....(2)

the graph of equation (2) is shown in figure-2

In option (2) $y\geq |x|+1$  .....(3)

the graph of equation (3) is shown in figure-3

In option (3) $y\geq |x+1|$  .....(4)

the graph of equation (3) is shown in figure-4

As this is shifted 1 unit to right side

So, this figure is correct as it is matches the provided figure

Therefore, the correct option is C) $y\geq |x+1|$