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Mathematics - Linear Operators

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1. Put the linear inequality into standard form.
-2x < 4

2. Determine whether or not the given point satisfies the given inequality.
-2x + y > 9, (3, 15)

3. Determine whether the given point (16, 0) is in the feasible set of this system of inequalities.
6x + 3y < 96
x + y < 18
2x + 6y < 72
x > 0, y > 0.

4. Determine whether the given point is above or below the given line.
3x - y = 4, (2,3)

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Solution Summary

A complete step-by-step solution to solving an inequality.

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1. Divide both sides by -1, and note that the inequality changes sign.
2x > -4 is the standard form
2x/2 > -4/2
x > -2
{x|x > -2 is the solution}

2. Plug in x = 3 and y = 15
...

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