Question

Which compound inequality could be represented by the graph

Answer 1

D is correct

Explanation:

i just got it right on the test

Answer 2

Option (4) is correct.

`x\leq 3` or
`x\geq -1` represent the given graph.

Explanation:

Given : The graph representing the whole number line.

We have to choose the compound inequality that represent the given graph.

Since, the given graph shows a number line with all real numbers.

Consider each option one by one and we find the solution set for each.

1)
`-4\leq x\leq 4`

Since, the solution set contain only numbers between -4 and 4.

So it is false.

2)
`-2\leq x\leq -1`

This is a wrong representation.

So it is false.

3)
`x\leq -1` or
`x\geq 0`

This represents all real numbers excluding numbers between -1 and 0

So it is false.

4)
`x\leq 3` or
`x\geq -1`

So it represents all the real numbers on number lines as shown in graph below.

So, it is true.

`x\leq 3` or
`x\geq -1` represent the given graph.

Option (4) is correct.