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3 years ago

In the xy-plane, if (0,0) is a solution to the inequalities above, which of the following relationships between a+b must be true

SAT

1 answer:

natali 33 [55]3 years ago

8 0

$a$ must be greater than zero
$b$ must be less than zero

<h2>Explanation:</h2>

The complete question is written in a comment above. The system of inequalities is the following:

$\begin{array}{c}(1)\\(2)\end{array}\left\{ \begin{array}{c}yx+b\end{array}\right.$

So, in order to find $a \ and \b$ you just need to replace both x and y-coordinates into our system. Therefore:

$\begin{array}{c}(1)\\(2)\end{array}\left\{ \begin{array}{c}00+b\end{array}\right. \\ \\ \\ Solving: \\ \\ \begin{array}{c}(1)\\(2)\end{array}\left\{ \begin{array}{c}0b\end{array}\right. \\ \\ \\ Finally: \\ \\ \begin{array}{c}(1)\\(2)\end{array}\left\{ \begin{array}{c}a>0\\b$

So the conclusion is:

$a$ must be greater than zero
$b$ must be less than zero

<h2>Learn more:</h2>

Inequalities: brainly.com/question/12890742

#LearnWithBrainly

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