Sangeetha Pulapaka

Look at the inequality.


Since y+3 can be either positive or negative, split the inequality into two cases.

                                                  positive                           negative

                                                  y+3≥5            and                -(y+3)≥5

First, solve the positive case.

y+3 ≥5y

y + 3 - 3 ≥ 5y -3      

Next, solve the negative case.

-(y+3) ≥5-

y–3 ≥5 

y ≥8    

y ≤- 8   

Now, see if the two inequalities can be combined into a single statement. Since there aren't any numbers that are both greater than or equal to 2 and less than or equal to -8, the two solutions cannot be combined. Instead, they must be joined with or.y≤-8 or y≥2

Finally, graph y≤-8 or y≥2. 

Skills to recall

1.What is an inequality in math

2.How to graph a compound inequality