How do you solve the compound inequalities #9 + 3n >=3# or # 5n < 30#?

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Answer 1 · 2018-07-23T20:35:45

#n>=-2# or #n<6#

Let's start with our first inequality

#9+3n>=3#

Let's start by subtracting #9# from both sides. This leaves us with

#3n>=-6#

Next, we can divide both sides by #3# to get

#n>=-2#

Let's move on to our second inequality:

#5n<30#

For this inequality, we only have to divide both sides by #5# to isolate #n#. We get

#n<6#

Therefore, our solutions are

#n>=-2# or #n<6#

Hope this helps!