Question

Below is the graph of equation y= |x+2| −1. Use this graph to find all values of x such that y<0

Answer 1

The value of
`x\in (-3,-1).`

Explanation:

The graph of
`y=|x+2|-1` in attachment.

Using graph to find the value of x such that y<0

y<0, It means all the values of y are negatives.

As we know, negative value of y always below x-axis.

In the graph, we can see between -3 to -1 graph shown below x-axis.

Therefore, all the values of y as
`x\in (-3,-1)` are negatives.

Hence, the value of
`x\in (-3,-1).`