alexmaylin2010
Answered

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There are at least 360 different breeds of dogs recognized worldwide.

Which inequality represents this statement?

A. [tex]x \ \textgreater \ 360[/tex]
B. [tex]x \ \textless \ 360[/tex]
C. [tex]x \leq 360[/tex]
D. [tex]x \geq 360[/tex]

Sagot :

GinnyAnswer
Let's analyze the statement: "There are at least 360 different breeds of dogs recognized worldwide."

The phrase "at least" indicates that the number of breeds could be 360 or more. Therefore, we need an inequality that expresses that the number of breeds [tex]\( x \)[/tex] is greater than or equal to 360.

Let's go through the given options one by one:

1. [tex]\( x > 360 \)[/tex]: This inequality states that the number of breeds is greater than 360, but it does not include 360 itself. This is not the correct representation since "at least" means it can be 360 or more.

2. [tex]\( x < 360 \)[/tex]: This inequality states that the number of breeds is less than 360, which directly contradicts the statement that there are at least 360 breeds.

3. [tex]\( x \leq 360 \)[/tex]: This inequality states that the number of breeds is less than or equal to 360, which again contradicts the given information.

4. [tex]\( x \geq 360 \)[/tex]: This inequality states that the number of breeds is greater than or equal to 360. This fits perfectly with the statement "at least 360 different breeds."

Therefore, the correct inequality representing the statement "at least 360 different breeds of dogs recognized worldwide" is:

[tex]\[ x \geq 360 \][/tex]
audreyn06

Answer: D. x ≥ 360

Step-by-step explanation:

The statement "There are at least 360 different breeds of dogs recognized worldwide" indicates that the number of breeds is 360 or more.

The inequality symbol that represents "x or more" is "≥" when the variable is on the left side.

Therefore, the inequality that represents the statement is D. x ≥ 360.

Another way of thinking about inequality symbols is to imagine it as an alligator's mouth. The mouth will always open toward the bigger number. So, since the number of breeds is more than 360, it is bigger than the number 360. That is why the "mouth" is open toward x.

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