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SOLUTION: How do you graph -3x < -6 or x + 5 < -2?
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Question 151739
:
How do you graph -3x < -6 or x + 5 < -2?
Answer by
jim_thompson5910(33401)
(
Show Source
):
You can
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Let's solve the first inequality
:
Start with the first inequality.
Divide both sides by
to isolate
. note: Remember, the inequality sign flips when we divide both sides by a negative number.
Reduce.
---------------------------------------------------------------------
Now let's solve the second inequality
:
Start with the second inequality.
Subtract
from both sides.
Combine like terms on the right side.
So our answer is
or
So the solution in interval notation is:
(
)
(
)
So the solution in set notation is:
Here's the graph of the solution set
Note:
There is an
open
circle at
which means that we're excluding that value from the solution set.
Also, there is an
open
circle at
which means that we're excluding that value from the solution set.