document.write( "Question 1204774: Write a statement that represents the relationship between the following.\r
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document.write( "A = {5, 6, 7} and B = {x| 5 ≤ x ≤ 7, x ∈ N}\r
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document.write( "Group of answer choices\r
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document.write( "A ⊆ B\r
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document.write( "A ⊂ B\r
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document.write( "B ⊂ A\r
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document.write( "A ⊈ B \n" );
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Algebra.Com's Answer #841245 by ikleyn(52781)![]() ![]() You can put this solution on YOUR website! . \n" ); document.write( "Write a statement that represents the relationship between the following.\r \n" ); document.write( "\n" ); document.write( "A = {5, 6, 7} and B = {x| 5 ≤ x ≤ 7, x ∈ N}\r \n" ); document.write( "\n" ); document.write( "Group of answer choices\r \n" ); document.write( "\n" ); document.write( "(1) A ⊆ B\r \n" ); document.write( "\n" ); document.write( "(2) A ⊂ B\r \n" ); document.write( "\n" ); document.write( "(3) B ⊂ A\r \n" ); document.write( "\n" ); document.write( "(4) A ⊈ B \n" ); document.write( "~~~~~~~~~~~~~~~~~~~~\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \r\n" ); document.write( "The set B can be equivalently presented as B = {5, 6, 7}.\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "So, the set B is the same as A. We can write B = A, or A = B.\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "In particular, it includes relationship (1), so (1) is correct.\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "Relationship (2) is not correct, since A is not a proper subset of B.\r\n" ); document.write( "\r\n" ); document.write( "Relationship (3) is not correct, since B is not a proper subset of A.\r\n" ); document.write( "\r\n" ); document.write( "Relationship (4) is not correct, obviously.\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "So, from the listed choices, only (1) is valid.\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "The other choices are not valid.\r\n" ); document.write( "\r \n" ); document.write( "\n" ); document.write( "--------------\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Solved, answered and explained.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Keep in mind that although (1) is valid, there is more strong relationship between A and B, namely A = B,\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "which is not listed in the option list.\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |