Math

QuestionList states bordering Kansas using set notation or state if there are none. Choose from the options provided.

Studdy Solution

STEP 1

Assumptions1. The problem is asking for the set of states that share a border with Kansas. . We are given five options to choose from.

STEP 2

Let's define the set of states that share a border with Kansas. According to geographical facts, the states that share a border with Kansas are Colorado, Nebraska, Missouri, and Oklahoma.
Kansas Border States={Colorado, Nebraska, Missouri, Oklahoma}\text{Kansas Border States} = \{ \text{Colorado, Nebraska, Missouri, Oklahoma} \}

STEP 3

Now, we need to compare the defined set with the given options.

STEP 4

Compare the defined set with option A.
Kansas Border States{Colorado, Missouri, Texas, Illinois}\text{Kansas Border States} \neq \{\text{Colorado, Missouri, Texas, Illinois}\}Texas and Illinois do not share a border with Kansas, so option A is incorrect.

STEP 5

Compare the defined set with option B.
Kansas Border States={Colorado, Nebraska, Missouri, Oklahoma}\text{Kansas Border States} = \{\text{Colorado, Nebraska, Missouri, Oklahoma}\}Option B matches the defined set, so it is the correct answer.

STEP 6

There is no need to check the remaining options since we have found the correct answer.The correct answer is B. \{Colorado, Nebraska, Missouri, Oklahoma\}.

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