Question

Which compound inequality is represented by the graph?

-5 -4 -3 -2 -1 0
1
2
3
4.
5
-2 -25 X < 4
X<-2 or x 24
XS-2 or x> 4


Side note: I accidentally clicked that answer I don’t know if it’s right or not

Answer 1

c

Explanation:

Answer 2

Given:

The graph of a compound inequality is given.

To find:

The compound inequality.

Solution:

From the given graph it is clear that an arrow approaches towards left from
`x=-2` and there is an open circle at
`x=-2`.

It means all the values less than
`-2` are included in the solution set but
`x=-2` is not included.

`x<-2` ...(i)

An arrow approaches towards right from
`x=4` and there is a closed circle at
`x=4`.

It means all the values greater than of equal to 4 are included in the solution set and
`x=4` is also included.

`x\geq 4` ...(ii)

Using (i) and (ii), we get the compound inequality.

`x<-2` or
`x\geq 4`

Therefore, the correct option is C.