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Linear Programming

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Questions and Answers

What is Linear Programming mainly used for?

To solve simple algebraic equations

To handle optimization problems (correct)

To graph non-linear inequations

To find the derivative of a function

What is the graph of ax + b > 0 divided into?

Three triangular regions

Two semi-planes (correct)

A circle and its interior

Four quadrants

What is the purpose of writing the equation ax + by = c when graphing an inequation?

To draw the graph of the inequation directly

To check if the inequation is true or false

To find the points to draw the line ax + by = c (correct)

To find the solution to the inequation

What is the use of the table in graphing an inequation?

To find the points to draw the line ax + by = c Signup and view all the answers

What is the line ST in the graph of ax + b > 0?

A vertical line parallel to the y-axis Signup and view all the answers

What is the procedure to graph an inequation?

Write the equation ax + by = c, make a table, then graph Signup and view all the answers

What is the graph of cy + d > 0 divided into?

Two semi-planes Signup and view all the answers

What is the shape of the graph of a linear inequation in one variable?

Semi-plane Signup and view all the answers

What is the purpose of converting ax + by ≤ c to ax + by = c in graphing?

To draw the graph of the line Signup and view all the answers

What is the role of the line ST in graphing ax + b > 0?

It divides the xy-plane into two semi-planes Signup and view all the answers

What is the relationship between the graph of ax + b > 0 and ax + b < 0?

They are parallel to each other Signup and view all the answers

What is the advantage of using a table to solve ax + by = c?

It helps in graphing the line Signup and view all the answers

What is the difference between the graph of ax + b > 0 and cy + d > 0?

One is parallel to the x-axis and the other is parallel to the y-axis Signup and view all the answers

What is the purpose of graphing linear inequations?

To visualize the solution region Signup and view all the answers

What is the first step in graphing an inequation ax + by <= c?

Write the equation ax + by = c in place of ax + by <= c Signup and view all the answers