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- Inequalities in two variables

Still Confused?

Try reviewing these fundamentals first.

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Try reviewing these fundamentals first.

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Get Started Now- Lesson: 111:32
- Lesson: 26:13

Basic concepts: Graphing systems of linear inequalities,

Linear programming is the process of finding the optimized condition (the maxima and/or minima) of a function, given various linear inequalities as constraints.

- 1.
**Finding Optimal Values Given Constraints In Slope-Intercept Form**Find the maximal and minimal value of $z=2x+3y$ subject to the following constraints:

$y \geq x+2$

$y \leq 3x$

$y \leq -2x+20$ - 2.
**Finding Optimal Values Given Constraints In Standard Form**Given the following constraints, find the maximal and minimal value of $z=5x+6y$.

$x \geq 0$

$y \geq 0$

$x-6 \leq 0$

$-x+y \leq 6$

$x+y \leq 8$

$\frac{1}{2}x+y \geq 3$

12.

Inequalities in two variables

12.1

Graphing linear inequalities in two variables

12.2

Graphing simultaneous linear inequalities

12.3

Graphing quadratic inequalities in two variables

12.4

Graphing simultaneous quadratic inequalities

12.5

Applications of inequalities

12.6

What is linear programming?

12.7

Linear programming word problems