System of Linear Inequalities in Two Variables

System of linear inequalities.

A combination of two or more linear inequalities

Three steps to determine the region that satisfies a system of linear inequalities

(a) Mark the region involved (b) Identify the common region (c) Shade the common region completely.

Gradient

The graph of an inequality

Drawn in the first quadrant only because the situation involves the variables x and y which represent quantities

> greater than < less than

≥ greater than or equal to ≤ less than or equal to

A variable

A factor such as an element, a feature or an integer that must be taken into account in a calculation

The highest power of a variable in a linear equation is 1

Linear equation in two variables: ax + by = c

General form of a straight line

y = mx + c, m is gradient, c is y-intercept

Types of regions generated on a Cartesian plane when a straight line is drawn