Graphing Inequalities Calculator

An inequality having the highest degree of 2, such an inequality is called quadratic equation. An quadratic inequalities is the combination of more than one terms are squared but no higher power in terms, having the following forms,

ax2+bx+c > 0

ax2+bx+c < 0

ax2+bx+c >= 0

ax2+bx+c <= 0

Where a represents the numerical coefficient of x2, b represents the numerical coefficient of x, and c represents the constant term

Example: 4x2- 3x+ 15 > 0

In this article we shall discuss about how to graph the quadratic inequality with the help of calculator.
Graphing Quadratic Inequality Calculator:

To graph the quadratic inequality in calculator we have to enter the inequality after pressing the calculate button the graph for the corresponding inequality will be displayed. The diagram of graphing quadratic inequality as shown below.

Graphing inequality calculator
Example Problem on Quadratic Inequalities:

Solve the quadratic inequalities

x2+10x+16 > 0

Tutor Solution:

Step 1: Multiply the coefficient of x2 and the constant term,

1*16 = 16 (product term)

Step 2: Find the factors for the product term

16 --- > 8*2 = 16 (factors are 8 and 2)

16 --- > 8 + 2= 10 (10 is equal coefficient of x)

Step 3: Separate the coefficient of x

x2+10x+16 > 0

x2+8x+2x+16 > 0

Step 4: The common term x for the first two terms and 2 for the next two terms are taking outside

x (x + 8) + 2 (x + 8) > 0

(x + 2) (x + 8) > 0

The corresponding equation is (x+2) = 0 and (x+8) = 0

x > -2 and x > -8

Graph for x^2+10x+16 > 0

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Example problem of quadratic inequalities:

Solve the quadratic inequalities

x2 -14x+45 > 0

Tutor Solution:

Step 1: Multiply the coefficient of x2 and the constant term,

1*45 = 45 (product term)

Step 2: Find the factors for the product term

45 --- > -9*-5 = 45 (factors are -9 and -5)

45 --- > -9 - 5= -14 (-14 is equal coefficient of x)

Step 3: Separate the coefficient of x

x2 -14x+45 > 0

x2-5x -9x+ 45 > 0

Step 4: Taking the common term x for the first two terms and -9 for the next two terms

x(x -5) - 9 (x -5) > 0

(x - 9) (x - 5)  > 0

The corresponding equation is (x-9) = 0 and (x-5) = 0

x > 9 and x > 5

Graph for x^2 -14x+45 > 0