Graphing Inequalities Calculator

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**Inequality** is defined as two real numbers or two algebraic expressions which are related with functioning a sign as ‘<’ (less than), ‘>’ (greater than), ‘$\leq$’ (less than or equal) and '$\geq$' (greater than or equal). **Inequalities** are classified as following types:

1)**Numerical Inequalities**: Inequalities, which involves numerical only without any variables are named numerical inequalities. The example of numerical inequalities is following as,

Eg: 2 < 6; 5 >1

2)**Literal Inequalities**: Inequalities, which involve one or more variables, are named literal inequalities.

Eg: a < 5; b > 2; x $\geq$ 4; y $\leq$ 6

3)**Double Inequalities**: An inequality which have two signs (< or > or ≤ or ≥) is described double inequality.

Eg: 2 < b < 8; 2 $\geq$ y $\geq$ 5

4)**Strict Inequalities**: If an inequality contains a sign < or >, then it is referred strict inequalities

Eg: Ax + B< 0; Ax^{2} + Bx + C > 0

5)**Slack Inequalities**: If an inequality involves a sign ≤ or ≥, then it is referred as slack inequalities.

Eg: Ax + By≤ C; Ax + By $\geq$ C

6)**Linear Inequalities**: An inequality may involve one variable by linear is labeled as linear inequality with one variable; If it involves two variables, then it is labeled linear inequality with two variables.

Eg: Ax + By < C; Ax + B > C

**Graphing Inequalities Calculator** is the calculator used to get solutions for inequality problems and obtain the right answers. **Inequality Graphing Calculator** is a tool for solving and graphing the inequalities.

Below is given a default inequality with different values of x and y, click "Calculate". It will solve for x and y to get the coordinates and then plot a graph.

**Step 1 :**

**Step 2 :**

**Step 3 :**

1)

Eg: 2 < 6; 5 >1

2)

Eg: a < 5; b > 2; x $\geq$ 4; y $\leq$ 6

3)

Eg: 2 < b < 8; 2 $\geq$ y $\geq$ 5

4)

Eg: Ax + B< 0; Ax

5)

Eg: Ax + By≤ C; Ax + By $\geq$ C

6)

Eg: Ax + By < C; Ax + B > C

Below is given a default inequality with different values of x and y, click "Calculate". It will solve for x and y to get the coordinates and then plot a graph.

Observe the given inequality and isolate the variable(x or y).

Choose different values for "x or y" other than zero and solve for x or y to get different coordinates.

Mark all the coordinates in the graph and join it.

Graph y - 2x > 5

**Step 1 :**Given inequality = y - 2x > 5

Isolating the variable "y" $\Rightarrow$ y > 2x + 5

**Step 2 :**At x = 1

$\Rightarrow$ y > 2(1) + 5

$\Rightarrow$ y > 7

At x = 2

$\Rightarrow$ y > 2(2) + 5

$\Rightarrow$ y > 9

At x = -1

$\Rightarrow$ y > 2(-1) + 5

$\Rightarrow$ y > 3

At x = -2

$\Rightarrow$ y > 2(-2) + 5

$\Rightarrow$ y > 1

**Step 3 :**So, the graph for the given inequality as per the coordinates is given by

**Answer :**Graph y < x

^{2}**Step 1 :**Given inequality = y < x

^{2}**Step 2 :**At x = -2

$\Rightarrow$ y < (-2)

^{2}

$\Rightarrow$ y < 4

At x = -1

$\Rightarrow$ y < (-1)

^{2 }

$\Rightarrow$ y < 1

At x = 1

$\Rightarrow$ y < (1)

^{2 }

$\Rightarrow$ y < 1

At x = 2

$\Rightarrow$ y < (2)

^{2}

$\Rightarrow$ y < 4

**Step 3 :**So, the graph for the given inequality as per the coordinates is given by

**Answer :**