Graphing Linear Inequalities Calculator

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**Graphing Linear Inequality Calculator** calculates the value of the variable for the linear expression given in the form of inequality and also plots the graph for where exactly the variable lies.

A linear inequality is given below as default input for this calculator. When you click on "Graph", a graph is plotted by solving the linear inequality and finding the value of variable.

**Step 1 :**

**Step 2 :**

We all know Inequality is all about comparing one quantity with the other. In math it is represented by symbols <, >, $\leq$ and $\geq$. Linear Inequality is the inequality among the expressions of the form ax + b.

A linear inequality is given below as default input for this calculator. When you click on "Graph", a graph is plotted by solving the linear inequality and finding the value of variable.

Read the given expressions and observe whether the given inequality is the linear expression. Use any of the mathematical operation to transfer all the values except the variable to the right hand side and bring the variables to left handside, we get the value of the variable.

Plot a graph for the given inequality.

Solve: 5x + 12 $\geq$ 5.

**Step 1 :**The given linear expression is 5x + 12 $\geq$ 5

Subtract by 12 on both the sides.

5x + 12 - 12 $\geq$ 5 - 12

5x $\geq$ -7

x $\geq$ - $\frac{7}{5}$**Step 2 :**The graph for the expression 5x + 12 $\geq$ 5 is given as below:

**Answer :**The solution for 5x + 12 $\geq$ 5 is x $\geq$ - $\frac{7}{5}$ and x $\epsilon$ (- $\frac{7}{5}$, $\infty$).

Solve for the inequality:

$\frac{x+5}{5}$ $\leq$ 20.

**Step 1 :**The given linear expression is $\frac{x+5}{5}$ $\leq$ 20.

Multiply by 5 on both the sides,

5 $\times$ $\frac{x + 5}{5}$ $\leq$ 20 $\times$ 5

x + 5 $\geq$ 100

x $\leq$ 95.**Step 2 :**The graph for the expression $\frac{x+5}{5}$ $\leq$ 20 is given as below:

**Answer :**The solution for $\frac{x+5}{5}$ $\leq$ 20 is x $\leq$ 95.