Logic Equations 6x6 - #18 - Brainzilla

How to play

The variables represents unique integers ranging from 1 to the number of variables;
Multiplication is implicit: AB means A times B, or A * B;
Based on the clues (equations and inequations), use the grid to create relations between variables and values:

Click once on a square to mark that value as false;
Click twice to assign the chosen value to the variable;
Click three times to clear the square.

The color of a clue changes after you assign values to all of its variables:

GREEN means that the statement is true;
RED means that the statement is false.

Click on a clue to mark it as used;
The game ends when all values are correctly assigned to the variables.

Tips

Figuring out which variables can't have the lowest or the highest values is a good starting point, e.g, A > B shows that A ≠ 1;
Analyzing the hypothetical equation C + D = 4, we can make the following statements:

C = 1 and D = 3 OR C = 3 and D = 1;
No other variable can be 1 or 3 (see Naked Pairs in our Sudoku Guide).

Another quick tip: A = 2B means that A is even;
Don't be afraid of using pen and paper. Some puzzles might require it.

More 6x6 puzzles

if D ≠ 5 then E < 1
if D + F ≤ 9 then A + C ≤ 8
if E + F ≤ 4 then A ≠ 2
if D ≠ 6 then F ≤ 2
if B ≥ 5 then C + D ≤ 5
if F ≤ 4 then A ≤ 5
if D > 3 then A ≥ 4
if A + B ≤ 11 then C + E ≤ 8
if F ≠ 2 then B + E ≤ 6

if B ≠ 2 then C + F ≤ 8
if A ≠ 6 then D ≤ 4
if B + E ≤ 3 then A + F ≤ 6
if C + F ≤ 7 then B ≤ 1
if B + C ≤ 10 then D < 2
if F ≠ 1 then B ≥ 5
if E ≠ 3 then C + F ≤ 4
if C ≤ 6 then A < 2

A ≤ 1 if and only if B ≠ 5
C ≥ 4 if and only if A + B ≤ 10
B < 1 if and only if E + F ≤ 4
A + D ≤ 11 if and only if F < 5
E ≤ 3 if and only if B + F ≤ 8
B > 4 if and only if A + F ≤ 11
E ≠ 4 if and only if B < 2

5