elementary algebra on line


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Graphical representation of linear inequations on the real number line
A real number line can be used to represent the solution set of an inequation (Linear). The convention is that O (a hollow circle) marks the end of a range with a strict inequality (i.e. < or >) and (a darkened circle) marks the end of a range involving equality as well as inequa..
Step1:
Draw the graph of equation x = 1 which is a line..
Rectangular axes
The position of a point in a plane is fixed by selecting two axes of reference which are formed by combining two number lines at right angles so that their zeros coincide. The horizontal number line is called x-axis and the vertical number line is called y-axis. The..
Example 4:
Plot the graph of 5x-2y=5. Use the graph to find the area between the line and the axe..
Linear Equation Graphical representation
Rectangular axes - The position of a point in a plane is fixed by selecting two axes of reference which are formed by combining two number lines at right angles so that their zeros coincide. The horizontal number line is called x-axis and the vertical number line is ca..
Example 5:
Plot the graph of x+3y=6. Use the graph to find a) area between the line and axes b) value of y when x=..
Conclusion
Linear inequations denote a user-friendly branch of mathematics which enables us to be very comfortable with the number line and properties of numbers.Linear inequations denote a user-friendly branch of mathematics which enables us to be very comfortable with the number line and..
1)
Graph the following: x > 2 and y < 3 The solution set of the system of linear simultaneous inequations is the set of all points (x, y) which satisfies the given set of inequations. In the above graph, the common area of the inequations (shaded area) represents solution set. y < 3 is th..
Ordered Pairs and Cartesian Product
In a Rectangular Cartesian System of coordinates the position of a point in a plane is determined by an ordered pair whose elements give the distances from the intersecting straight lines at right angles to each other. These lines are called the axes. The vertical line..
1)
Consider the equation x = 0, x = 1, y = 0, y = -2. i) x = 0 represents y-axis. ii) x = 1 represents line parallel to y-axis. iii) y = 0 represents x-axis. iv) y = -2 represents line parallel to x-axis...
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