algebra help please!!!

+1 vote

here are pictures of the questions, i have no idea how to do this.. i need steps please :)

1.

2. 

asked Jan 5, 2012 in Mathematics by sammy.sam187485 (37 points)
edited Feb 24, 2012 by pokemonmaster
    

1 Answer

+2 votes
 
Best answer

These aren't too bad -- the pictures give you a lot of information!

1) A closed circle at -2, with the number line filled going up.  If the circle is closed, this means that your interval is closed, which means that the number (-2) is included in the interval.

On face value, this reads as: x >= -2.  The multiple choice problems complicates the problem, but all you need to do to solve it is to add or subtract across the operator.

So:

x -3 >= -5

(+3)   (+3)

x >= -2


2) This problem deals with an open interval, so the given number isn't included.  The easy way to distinguish this from the closed interval when reading number lines is to note that your operator will only be > or <, not <= or >=.

Anyway, you can treat the algebra the same as well.  So:

x+7 < 6

(-7)   (-7)

x < -1


More reading: http://www.sparknotes.com/math/algebra1/inequalities/section4.rhtml

answered Feb 19, 2012 by Hyperanthony ~Rookie~ (257 points)
selected Feb 19, 2012 by pokemonmaster

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