To solve: The solution of equation through graph.
The solutions of equation are , and .
The given equation is,
In the above equation let the left-hand side equation is,
The graphs of equation y is shown below,
The given equation is equivalent to and the solution is x-coordinate of intersection point of two graphs.
From Figure (1) the graph of y is equal to zero when graph intersect x-axis at , , approximately and these values of x-coordinates give the solution of given equation.
Thus, the solutions of equation are , and .
To solve: The solution of inequality through graph.
The solution of inequality is the interval .
The given inequality is,
In the above equation let left-hand equation is,
The right-hand side equation is,
The graph of equation and on the same set of axis is shown below.
The given equation is equivalent to and the solution of inequality is all x-values for which the graph of is less than or equal to .
From Figure (2) the graph of and intersects each other at points and in which the values of x-coordinates are , 2 and the graph of is on or below the graph when values of x lie in between to and these values of x-coordinates give the solution of given inequality.
Thus, the solution of inequality is the interval .
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