Chapter 6.5, Problem 20PPS

To determine

Graph linear inequality $x<-4$ and determine which of the ordered pairs in $\{(2,1),(-3,0),(0,-3),(-5,-5),(-4,2)\}$ are in the solution set.

Answer to Problem 20PPS

Graph of inequality $x<-4$ :

  

The only order pair (-5,-5) is in the solution set.

Explanation of Solution

Solution: Draw a dotted vertically line at $x=4.$

For $<$ inequality sign draw a dotted line and shade left the dotted line.

  

Now, plot $(2,1),(-3,0),(0,-3),(-5,-5),(-4,2)$ order pairs on the coordinate axes and check which order pairs inside and which order pairs are outside the shaded region.

  

We could see that only order pair (-5,-5) is inside shaded region.

Therefore, the only order pair (-5,-5) is in the solution set.