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- Inequalities in two variables (Advanced)

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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 $z=5x+6y$.

$x \geq 0$

$y \geq 0$

$x-6 \leq 0$

$-x+y \leq 6$

$x+y \leq 8$

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

9.

Inequalities in two variables (Advanced)

9.1

Graphing linear inequalities in two variables

9.2

Graphing simultaneous linear inequalities

9.3

Graphing quadratic inequalities in two variables

9.4

Graphing simultaneous quadratic inequalities

9.5

Applications of inequalities

9.6

What is linear programming?

9.7

Linear programming word problems