How do you graph and solve #3abs[s]-2 >=7#?

1 Answer

Answer:

#s<=-3, s>=3# See below for graph details:

Explanation:

Let's isolate #s#:

#3abss-2>=7#

#3abss>=9#

#abss>=3#

It's at this point that it's important to remember that the absolute value function will only return positive values (but the #s# inside of it could be negative). And so we evaluate for both positive and negative values:

#pms>=3#

Positive

#s>=3#

Negative

#-s>=3#

#s<=-3#

Now to graph. On a number line, put filled in dots on #3 and -3# - this indicates that these values are part of the solution. Draw a ray to the right from the 3 dot and a ray to the left for the #-3# dot.