Which compound inequality could be represented by the graph

Question

asked Nov 18, 2018 35.7k views

2 Answers

JohannesH · Answer 1 · 2018-11-24T00:01:58+0000

Answer:

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.