Which compound inequality could be represented by the graph?
-5 -4 -3 -2 -1 0
1
2
3 4
5
-4 -2 sxs-1
Oxs-1 or x > 0
Ox<3 or x>-1

Answer:

D, just got it righ,t May 2021

Step-by-step explanation:

x ≤ 3 or x ≥ -1 represent the given graph.

Option (4) is correct.

Inequalities are mathematical formulas in which neither side is equal. Unlike equations, we compare two values in inequality.

As per the given diagram:

A line is drawn and a certain range of values are marked on the line,

To find the compound inequality that could be represented by the graph.

Because a number line with only real numbers is displayed in the provided graph.

We identify the solution set for each option by considering it separately.

1) -4 ≤ x ≤ 4

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

So it is false.

2) -2 ≤ x ≤ -1

This is a wrong representation.

3) x ≤ -1 or x ≥ 0

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

So it is false.

4) x ≤ 3 or x ≥ -1

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

So, it is true.

x ≤ 3 or x ≥ -1 represent the given graph.

Learn more about Inequality here:

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