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Maths-

General

Easy

Question

$y greater than 4 x$
$y less than negative x$
When graphed in the xy plane, what point (x, y) is a solution to the given system of inequalities?

(1, 1)
(-2, -2)
(3, -3)
(- 4, 4)

The correct answer is: (-2, -2)

HINT: Substitute the given options in the inequalities
Complete step by step Solution
In option A, (1, 1)
Here, $1 greater than 4 blank$ is the 1^st inequality which is incorrect so option A is wrong.
In option B, (- 2, - 2)
Here, $negative 2 greater than 4 left parenthesis negative 2 right parenthesis blank equals blank minus 2 greater than negative 8$ is the first inequality and it is correct and $negative 2 less than negative left parenthesis negative 2 right parenthesis blank equals blank minus 2 less than 2$ is the second inequality. This is also correct.
So option B is right.
In option C,(3, - 3)
Here, $blank minus 3 greater than 4 left parenthesis 3 right parenthesis equals blank minus 3 greater than 12$ is the 1^st inequality which is incorrect
So option C is wrong.
In option D,(- 4, 4)
Here, $4 greater than 4 left parenthesis negative 4 right parenthesis equals 4 greater than negative 16$ is the 1^st inequality which is correct.
$4 less than blank minus left parenthesis negative 4 right parenthesis equals 4 less than 4 blank$ is the second inequality which is incorrect
Hence, option D is wrong
So, we can conclude that option B is right.

Related Questions to study

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parallel

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