Tuesday, March 24, 2015

Inequalities < > (#@!^@@@$$$!!!!!)

Look familiar?

"Which inequality is represented by this picture?"



Well, you've always got 4 options. Something (usually represented as "x") is either...


1) Greater than a given number
2) Greater than, or equal to, a given number
3) Less than a given number
4) Less than, or equal to, a given number



Examples...


1) Greater than a given number

Answer      x > -1 (x is greater than minus 1)




2) Greater than, or equal to, a given number

Answer      x > -1 (x is greater than, or equal to, minus 1)



Notice a difference? If the circle above the number line is OPEN, your < or > sign has NO line under it. 

If it is a closed circle, your < or > sign has a line under it. 

This line signifies "or is equal to."


3) Less than a given number


Answer      x < -1 (x is less than minus 1)






4) Less than, or equal to, a given number


Answer      x < -1 (x is less than, or equal to minus 1)





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