Top

Linear Inequalities Calculator
Top
Inequality means Comparing two values or algebraic expressions. They are represented by the symbol <, >, $\leq$ and $\geq$.

An linear inequalities are of the form bx + c given by :
bx + c > 0 or bx + c < 0 or bx + c $\leq$ 0 or bx + c $\geq$ 0.
where b represents the numerical coefficient of x, and c represents the constant term.
 
Linear Inequality Calculator (sometimes called as number line calculator or graphing inequalities calculator) calculates the value of the variable for a given algebraic expression. It is a linear inequalities solver that solves the given linear expression.

A linear inequality is given below as default input for this calculator. When you click on "Solve Radical Equation", the calculator will solve the linear inequality and you will get the value of variable.
 

Steps for Linear Inequalities Calculator

Back to Top
Step 1 :  

Read the problem and observe whether the given equation is linear equation represented by the inequality symbol.



Step 2 :  

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.



Problems on Linear Inequalities Calculator

Back to Top
  1. Find the value of 2x + 3 > 5.


    Step 1 :  

    The given equation is 2x + 3 > 5 is of the form bx + c and is given by the inequality.



    Step 2 :  

    2x + 3 > 5


    => 2x > 5 - 3


    => 2x > 2


    => x > 1



    Answer  :  

    The solution of equation 2x + 3 > 5 is x > 1. Hence x lies between (1, $\infty$) on number line.



  2.  $\frac{5x}{3}$ - 6 < 4


    Step 1 :  

    The given equation is $\frac{5x}{3}$ - 6 < 4  is of the form bx + c and is given by the inequality.



    Step 2 :  

    => $\frac{5x}{3}$ - 6 < 4


    => $\frac{5x}{3}$ < 4 + 6


    => 5x < 3 $\times$ 10


    => 5x < 30


    => x < 6



    Answer  :  

    The solution of $\frac{5x}{3}$ - 6 < 4 is x = 6 and hence x lies between (- $\infty$, 6) on the number line.



More Linear Inequalities Calculator
Graphing Linear Inequalities Calculator
*AP and SAT are registered trademarks of the College Board.