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Created on: 2012-02-22

Inequalities : Solve

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Enter a polynomial inequality along with the variable to be solved for and click the Solve button.

Solve   for 

A sample problem solved by Quickmath web math calculator

(-3)*t-5 < 34 solution | (x^2-2*x-15)/(x^2-11*x+30) canceled

Command

Solve

Inequality
3*k^3-10*k^2+9*k-2 <= 0

  1. an inequality in which left side of inequality smaller than or equal to right side of inequality; the left side of the inequality is a sum that consists of 4 terms; the 1st term of the sum is equal to a product comprising 2 factors; the 1st factor of the product is equal to three; the 2nd factor of the product is a power; the base is k; the exponent is three; the 2nd term of the sum is a negative product containing 2 factors; the 1st factor of the product is equal to ten; the 2nd factor of the product is equal to a power; the base is k; the exponent is two; the 3rd term of the sum is equal to a product that comprises 2 factors; the 1st factor of the product is equal to nine; the 2nd factor of the product is k; the 4th term of the sum is equal to negative two; the right side of the inequality is zero;
  2. three times k exponentiated by three plus negative ten multiplied by k raised to the power of two plus nine times k plus negative two smaller or equal than zero;
Variable
Result

Exact

<<<<k <= 1/3>>,<<k >= 1,k <= 2>>>>

  1. an inequality in which left side of inequality less than or equal to right side of inequality; the left side of the inequality is equal to k; the right side of the inequality is a fraction: the numerator of the fraction is one; the denominator of the fraction is three new line an inequality in which left side of inequality greater than or equal to right side of inequality; the left side of the inequality is equal to k; the right side of the inequality is one new line an inequality in which left side of inequality smaller than or equal to right side of inequality; the left side of the inequality is equal to k; the right side of the inequality is equal to two;
  2. opening brace open parenthesis k less or equal than one divided by three close parenthesis new line left bracket k greater or equal than one new line k less or equal than two right bracket closing brace;


Approximate

<<<<k <= .333333>>,<<k >= 1.0,k <= 2.0>>>>

  1. an inequality in which left side of inequality smaller than or equal to right side of inequality. The left side of the inequality is equal to k. The right side of the inequality is equal to zero point three three three three three three new line an inequality in which left side of inequality greater than or equal to right side of inequality. The left side of the inequality is equal to k. The right side of the inequality is equal to one new line an inequality in which left side of inequality smaller than or equal to right side of inequality. The left side of the inequality is k. The right side of the inequality is two.
  2. opening parenthesis opening brace k smaller or equal than zero point three three three three three three closing brace new line left parenthesis k greater or equal than one new line k smaller or equal than two right parenthesis closing parenthesis.


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