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Linear inequalities in one or two variables SAT question

Math · Algebra · Easy · Answer it here, explanation included.

Which of the following ordered pairs $x comma y$ satisfies the inequality $5 x minus 3 y is less than 4$ ?

$Statement 1, 1 comma 1$
$Statement 2, 2 comma 5$
$Statement 3, 3 comma 2$

ExplanationShow

Choice C is correct. Substituting $the ordered pair 1 comma 1$ into the inequality gives $5 times 1, minus, 3 times 1, is less than 4$ , or $2 is less than 4$ , which is a true statement. Substituting $the ordered pair 2 comma 5$ into the inequality gives $5 times 2, minus, 3 times 5, is less than 4$ , or $negative 5 is less than 4$ , which is a true statement. Substituting $the ordered pair 3 comma 2$ into the inequality gives $5 times 3, minus, 3 times 2, is less than 4$ , or $9 is less than 4$ , which is not a true statement. Therefore, $the ordered pair 1 comma 1$ and $the ordered pair 2 comma 5$ are the only ordered pairs shown that satisfy the given inequality.

Choice A is incorrect because the ordered pair $2 comma 5$ also satisfies the inequality. Choice B is incorrect because the ordered pair $1 comma 1$ also satisfies the inequality. Choice D is incorrect because the ordered pair $3 comma 2$ does not satisfy the inequality.

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Linear inequalities in one or two variables SAT question

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