Question

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

A. y < |x| - 3
B. y < x - 3
C. y < |x + 3|

Answer 1

Option C

Explanation:

Shaded region of the given graph shows the solution area of inequality with notation of less than (<).

If the basic function in the form of an equation is,

`y=|x|`

And the graph is shifted 3 units left horizontally,

Equation will be,

`y=|x+3|`

Then the solution area of the inequality representing the graph will be,

`y<|x+3|`

Option C will be the answer.