223,761 views
5 votes
5 votes
Match the graph to the correct inequality
X≥-3
X<-3
X≤ 3
X> -3

Match the graph to the correct inequality X≥-3 X<-3 X≤ 3 X> -3-example-1
User Ben Golden
by
2.7k points

2 Answers

14 votes
14 votes

Answer:

X≥-3

Explanation:

Inequalities represent a range of values, rather than a single value.

Let us consider the inequality

x > - 3

This would mean can be any value greater than -3, not including -3.

This is represented by a line starting from -3 and extending indefinitely (marked by an arrow head). Note that at -3, there is a small empty circle which represents that -3 is not included.

In case the inequality was

x > -3

It would mean that -3 has also been included.

In case you can't draw on the number line, you can also show the range just above the number.

Match the graph to the correct inequality X≥-3 X<-3 X≤ 3 X> -3-example-1
User Bertolt
by
3.2k points
17 votes
17 votes

Answer: Choice A) x ≥ -3

Reason:

The graph has a closed filled in circle at -3, which means we include this value. So we'll have "or equal to" as part of the inequality sign.

We'll also have "greater than" because we're shading to the right.

Hence, we have "greater than or equal to".

Put another way, x = -3 or x > -3 are two possibilities.

If the endpoint at -3 was an open hole, then we'd exclude the endpoint and go for x > -3 instead of x ≥ -3

User Threenplusone
by
2.3k points
Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.