The solution to the inequality expression 4 < 3(1-3x) <7 is -1/9 > x > -4/9
The inequality expression is given as:
4 < 3(1-3x) <7
Divide through by 3
4/3 < (1-3x) < 7/3
Remove the brackets
4/3 < 1-3x < 7/3
Subtract 1 from the inequality expression
4/3 -1 < -3x < 7/3 -1
This gives
1/3 < -3x < 4/3
Divide through by -3
-1/9 > x > -4/9
Hence, the solution to the inequality expression 4 < 3(1-3x) <7 is -1/9 > x > -4/9
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