{"@context":"https://schema.org/","@type":"Quiz","name":"

The minimum value of $x$ is 12 less than 6 times another number $n$. Which inequality shows the possible values of $x$?

","hasPart":{"@type":"Question","typicalAgeRange":"12-22","educationalAlignment":[{"@type":"AlignmentObject","alignmentType":"educationalSubject","targetName":"SAT"},{"@type":"AlignmentObject","alignmentType":"educationalLevel","targetName":"SAT","educationalFramework":"Common Core","targetUrl":"https://classnotes.xyz/mcqs/sat-math-algebra-multiple-choice-question-205"}],"about":{"@type":"Thing","name":"Math, Algebra, Duplicate"},"educationalLevel":"intermediate","eduQuestionType":"Multiple choice","learningResourceType":"Practice problem","assesses":["Math","Algebra","Duplicate"],"name":"

The minimum value of $x$ is 12 less than 6 times another number $n$. Which inequality shows the possible values of $x$?

","comment":{"@type":"Comment","text":"

Choice B is correct. It's given that the minimum value of $x$ is $12$ less than $6$ times another number $n$. Therefore, the possible values of $x$ are all greater than or equal to the value of $12$ less than $6$ times $n$. The value of $6$ times $n$ is given by the expression $6n$. The value of $12$ less than $6n$ is given by the expression $6n-12$. Therefore, the possible values of $x$ are all greater than or equal to $6n-12$. This can be shown by the inequality $x\\geq 6n-12$.

Choice A is incorrect. This inequality shows the possible values $x$ of if the maximum, not the minimum, value of $x$ is 12 less than 6 times $n$.

Choice C is incorrect. This inequality shows the possible values of $x$ if the maximum, not the minimum, value of $x$ is 6 times $n$ less than 12, not 12 less than 6 times $n$.

Choice D is incorrect. This inequality shows the possible values of $x$ if the minimum value of $x$ is 6 times $n$ less than 12, not 12 less than 6 times $n$.

"},"encodingFormat":"text/markdown","text":"

The minimum value of $x$ is 12 less than 6 times another number $n$. Which inequality shows the possible values of $x$?

","suggestedAnswer":[{"@type":"Answer","position":0,"encodingFormat":"text/html","text":"

$x \\leq 6n -12$

"},{"@type":"Answer","position":2,"encodingFormat":"text/html","text":"

$x \\leq 12 - 6n$

"},{"@type":"Answer","position":3,"encodingFormat":"text/html","text":"

$x \\geq 12 - 6n$

"}],"acceptedAnswer":{"@type":"Answer","position":1,"encodingFormat":"text/html","text":"

$x \\geq 6n -12$

","comment":{"@type":"Comment","text":"

Choice A is incorrect. This inequality shows the possible values $x$ of if the maximum, not the minimum, value of $x$ is 12 less than 6 times $n$.

Choice C is incorrect. This inequality shows the possible values of $x$ if the maximum, not the minimum, value of $x$ is 6 times $n$ less than 12, not 12 less than 6 times $n$.

Choice D is incorrect. This inequality shows the possible values of $x$ if the minimum value of $x$ is 6 times $n$ less than 12, not 12 less than 6 times $n$.

"},"answerExplanation":{"@type":"Comment","text":"

Choice A is incorrect. This inequality shows the possible values $x$ of if the maximum, not the minimum, value of $x$ is 12 less than 6 times $n$.

Choice C is incorrect. This inequality shows the possible values of $x$ if the maximum, not the minimum, value of $x$ is 6 times $n$ less than 12, not 12 less than 6 times $n$.

Choice D is incorrect. This inequality shows the possible values of $x$ if the minimum value of $x$ is 6 times $n$ less than 12, not 12 less than 6 times $n$.

"}}},"url":"https://classnotes.xyz/mcqs/sat-math-algebra-multiple-choice-question-205"}