The inequality of -3/5 < 3/2 (x-4) < 1/3 is 3 3/5 < x < 42/9
How to determine the inequality?
The inequality expression is given as:
-3/5 < 3/2 (x-4) < 1/3
Multiply through by 2/3
-2/5 < (x-4) < 2/9
Remove the bracket
-2/5 < x-4 < 2/9
Add 4 to the inequality
4 -2/5 < x-4 +4< 2/9 +4
Evaluate the sum and the difference
3 3/5 < x < 42/9
Hence, the inequality of -3/5 < 3/2 (x-4) < 1/3 is 3 3/5 < x < 42/9
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