Q62. - Algebra 2

Question

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

$y\le \frac{3}{4}x-5$

Step-by-Step Solution

Answer

No, (0,0) does not satisfy $y\le \frac{3}{4}x-5$  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

$y\le \frac{3}{4}x-5$

The point to investigate is (0,0)

Step-3 Putting the point inequality

$\begin{array}{l}y\le \frac{3}{4}x-5\\ 0\le \frac{3}{4}\times 0-5\\ 0\le -5\end{array}$

Which is not true.

So, it does not satisfy the inequality.