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Laws of Indices
If m and n are positive integers, and then (i) a m a n = a m + n [Product Law] (ii) [Quotient Law] (iii) (a m ) n = a m n [Power Law] (iv) (ab) m = a m . b m (v) (vi) a o = 1 (vii..
If m and n are positive integers, and then (i) a m a n = a m + n [Product Law] (ii) [Quotient Law] (iii) (a m ) n = a m n [Power Law] (iv) (ab) m = a m . b m (v) (vi) a o = 1 (vii..Step 3:
Choose a point that does not satisfy the inequation and shade the remaining parts leaving the line. If the point satisfies the given inequation, shade the part including the point and the line. The process of shading is clear from the graphs depicted abo..
Linear Inequations Summary
A half-plane in the x-y plane is called a closed half-plane if the points on the line separating the half-planes are also included in the half-plane. A half-plane in the x-y plane is called a closed half-plane if the points on the line separating the half-planes are also included in the half-p..
A half-plane in the x-y plane is called a closed half-plane if the points on the line separating the half-planes are also included in the half-plane. A half-plane in the x-y plane is called a closed half-plane if the points on the line separating the half-planes are also included in the half-p..Simultaneous inequations
Two inequalities, containing the same unknowns, are called equivalent, if they are valid at the same values of the unknowns. The same definition is used for the equivalence of two systems of simultaneous inequalities. Solving of inequalities is a process of transition from one inequality to a..
2)
Graph the following: Consider the equations, ..
Graph the following: Consider the equations, ..Note:
The graph of x = a is a line parallel to y-axis at x=a. The graph of y=b is a line parallel to x-axis at y = ..
Example:
Find at least 3 sets of values for the variables satisfying the equation. 2x+y=5 Express y in terms of x. y=5-2x Select three values of x, find corresponding values of y. x=0, y=5-(2x0)=5 x=1, y=5-(2x1)=3 x=-1, y=5-(-2)=7 Draw the x and y - axes. Choose a suitable scale so as to locate the sel..
Find at least 3 sets of values for the variables satisfying the equation. 2x+y=5 Express y in terms of x. y=5-2x Select three values of x, find corresponding values of y. x=0, y=5-(2x0)=5 x=1, y=5-(2x1)=3 x=-1, y=5-(-2)=7 Draw the x and y - axes. Choose a suitable scale so as to locate the sel.. Result
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