Question

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

$\left|x\right|+y\le 3$

Short answer

yes, (0,0) satisfy $\left|x\right|+y\le 3$ inequality

Step-by-step solution

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 $\left|x\right|+y\le 3$

The point to investigate is (0,0)

Putting the point inequality

$\begin{array}{l}\left|x\right|+y\le 3\\ 0+0\le 3\\ 0\le 3\end{array}$

Which is true statement.

So, it satisfies the inequality