Chapter 6.5, Problem 19PPS

To determine

Graph linear inequality $y\ge 6$ and determine which of the ordered pairs in $\{(0,4),(-2,7),(4,8),(-4,-8),(1,6)\}$ are in the solution set.

Answer to Problem 19PPS

Graph of inequality $y\ge 6$ :

  

The only order pairs (-2,7), (1,6) and (4,8) are in the solution set.

Explanation of Solution

Solution: Draw a solid horizontal line at $y=6.$

For $\ge$ inequality sign draw a solid line and shade up the line.

  

Now check $(0,4),(-2,7),(4,8),(-4,-8),(1,6)$ order pairs on the coordinate axes.

  

We could see that only order pairs (-2,7), (1,6) and (4,8) are inside shaded region.

Therefore, the only order pairs (-2,7), (1,6) and (4,8) are in the solution set.