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Created on: 2011-11-27

A sample problem solved by Quickmath online math solver

Command

Solve

Inequality
M+(f+d-f*d)*L > L*(1-(t+b*(1*(f+d-f*d))))

:
  1. an inequality in which left side of inequality greater than right side of inequality; the left side of the inequality is equal to a sum containing 2 terms; the first term of the sum is M; the second term of the sum is a product containing 2 factors; the first factor of the product is a sum containing 3 terms; the first term of the sum is f; the second term of the sum is equal to d; the third term of the sum is equal to a negative product containing 2 factors; the first factor of the product is equal to f; the second factor of the product is equal to d; the second factor of the product is L; the right side of the inequality is equal to a product that contains 2 factors; the first factor of the product is equal to L; the second factor of the product is equal to a sum comprising 2 terms; the first term of the sum is equal to one; the second term of the sum is equal to a negative sum containing 2 terms; the first term of the sum is t; the second term of the sum is equal to a product that consists of 2 factors; the first factor of the product is b; the second factor of the product is equal to a product that comprises 2 factors; the first factor of the product is equal to one; the second factor of the product is equal to a sum containing 3 terms; the first term of the sum is f; the second term of the sum is equal to d; the third term of the sum is a negative product that contains 2 factors; the first factor of the product is equal to f; the second factor of the product is equal to d;
  2. M plus opening brace f plus d plus negative f multiplied by d closing brace multiplied by L larger than L multiplied by opening brace one plus negative opening bracket t plus b multiplied by left brace one multiplied by opening bracket f plus d plus negative f multiplied by d closing bracket right brace closing bracket closing brace.
Variable
Result
A nonpolynomial inequality has been used, so the solution set may be incorrect.

Exact

<<-t*L+b*d*f*L+d*f*L-b*f*L-f*L-b*d*L-d*L+L < M>>

:
  1. an inequality in which left side of inequality smaller than right side of inequality. The left side of the inequality is a sum comprising 8 terms. The first term of the sum is equal to a product containing 2 factors. The first factor of the product is negative t. The second factor of the product is L. The second term of the sum is equal to a product containing 4 factors. The first factor of the product is b. The second factor of the product is d. The third factor of the product is f. The four factor of the product is equal to L. The third term of the sum is a product that comprises 3 factors. The first factor of the product is equal to d. The second factor of the product is f. The third factor of the product is equal to L. The four term of the sum is equal to a negative product of 3 factors. The first factor of the product is equal to b. The second factor of the product is equal to f. The third factor of the product is equal to L. The five term of the sum is equal to a negative product comprising 2 factors. The first factor of the product is equal to f. The second factor of the product is L. The six term of the sum is equal to a negative product that contains 3 factors. The first factor of the product is equal to b. The second factor of the product is equal to d. The third factor of the product is L. The seven term of the sum is equal to a negative product comprising 2 factors. The first factor of the product is d. The second factor of the product is equal to L. The eight term of the sum is equal to L. The right side of the inequality is equal to M.
  2. left parenthesis negative t multiplied by L plus b multiplied by d multiplied by f multiplied by L plus d multiplied by f times L plus negative b multiplied by f times L plus negative f times L plus negative b times d times L plus negative d times L plus L less than M right parenthesis.