SOLUTION: How do I write an inequality in the variable x for the degree measure of the smallest of the triangle given that the degree measure of the smallest angle is at most 30 degress.

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Question 274067: How do I write an inequality in the variable x for the degree measure of the smallest of the triangle given that the degree measure of the smallest angle is at most 30 degress.
danieljeffus@yahoo.com
Answer by Theo(13342) About Me  (Show Source):
You can put this solution on YOUR website!
if I understand your question correctly, then:

x <= 30 degrees

or:

(180 - x) >= 150 degrees

either one expresses the fact that the angle can't be greater than 30 degrees.

to be more specific, however, you might need to say that the angle has to be greater than or equal to 0 degrees as well, since the angle could also be negative.

if this is implied by the nature of the problem (you are only dealing with positive angles), then you don't have to worry about that.

if you do have to worry about it, then:

0 <= x <= 30 degrees

or:

180 >= (180-x) >= 150 degrees

that last statement forces x to be >= 0.