"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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