This is an online educational tools to make graph of mathematical inequality of 2D in this section. Type any mathematical expressions in the left input box, right input box, select the inequality sign( > or < ) in the middle and then the graph will drawn automatically. It takes sometimes to draw graph of this inequality and be patience to calculate huge points to draw the graph. For zoom this graph, you can change the x-scale and y-scale. It can draw any inequality of two variables. You can see the user manual for properly use this online tools. Thank you for viewing this article.
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The relationship between two variables x and y which are not equal is defined inequality of mathematical expression. As for example, x^2/64+3y^2/25>1 . For learn about Piecewise function of Mathematics and graphing, visit: Graphing Piecewise function of Math.
A Number line is represented by a line or line segment on x-axis whose length may be finite or infinite.Any real number can be represent on a number line, such as fractions,rationals, irrationals, decimals, integers etc. The solution of a inequality can be represented by a Number line. As for example, |2x-7|>13 is an inequality whose solution -3<x<10 is represented a number line is given bellows
As for another example, 2x-1>9 is an inequality whose solution x>5 is represented a number line is given belows.
Triangle Inequality of complex numbers :If z1 and z2 are two complex numbers and |z1|,|z2| and |z1 + z2| are modulus of z1, z2 and z1+z2 respectively, then the Triangle Inequality of complex numbers is |z1 + z2|≤|z1| + |z2|. This theorem is generalized by |z1 + z2 + z3+....+zn|≤|z1| + |z2|+|z3|+.....+|zn|.
Assume |x-a| < r is a Modulus or absolute value inequality, we want to convert it to normal inequality.
The inequality of ceiling function is defined by the smallest integer value which is greater than or equal to the specified number. The Ceiling function is denoted by ⌈x⌉. So ⌈x⌉=n where x≤n<x+1
The inequality of floor function is defined by the largest integer value which is less than or equal to the specified number. The Floor function is denoted by ⌋x⌊ So ⌋x⌊=n where x-1<n≤x
Let us consider a function f(x)=x5-5x3+4x and the second derivative f''(x)=20x3-30x. Now f''(x)>0 for concave up interval and f''(x)<0 for concave down interval. We can find the concave up and concave down intervals with this graphing inequality page by inputing 20x3-30x and select less than or greater than sign, then we get number line of the inequality. The graph of the function f(x) and the numbeer line of its concavity is given belows.
