I need help on this question this is really really hard.
2 answers:
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First, , and if we multiply
by
we get
Subtracting this from the numerator gives a remainder of
Next, , and if we multiply
by
we have
and subtracting this from the previous remainder, we end up with a new remainder of
Next, , and if we multiply
by
we get
Subtracting from the previous remainder, we get a new remainder of
which contains no more factors of , so we're done.
So,
Answer: x < 2
Explanation: To solve for <em>x</em> in this inequality, our goal is the same as it would be if this were an equation, to get <em>x</em> by itself on one side.
Since 3 is being subtracted from <em>x</em>, we add 3
to both sides of the inequality to get <em>x < 2</em>.
Before we graph, write your answer in set notation.
We can write this as {x: x < 2}.
It's important to understand what this means.
This means that any number less than 2 is a solution to this inequality.
I have graphed the inequality for you below.
Start with an open dot on +2.
We use an open dot because +2 is not included as a solution.
Then draw an arrow going to the left.
