Q64. - Algebra 2

Question

Determine whether (0,0) satisfies each inequality. Write yes or no

$y>\left|x\right|$

Step-by-Step Solution

Answer

No, (0,0) does not satisfy $y>\left|x\right|$  inequality.

Step-1 Concept of satisfying the point

 A point is said to satisfies the inequality if the point put in the inequality then the inequality is true otherwise the point does not satisfies.

Step-2 Given inequality and points to investigate

Given inequality is $y>\left|x\right|$

The point to investigate is (0,0)

Step-3 Putting the point inequality

$\begin{array}{l}y>\left|x\right|\\ 0>\left|0\right|\\ 0>0\end{array}$

Which is not possible

So, it does not satisfy the inequality.