Question

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

Answer 1

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

Explanation:

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

Learn more:

Inequalities: brainly.com/question/12890742

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