i don't understand how you could solve this. can someone explain how i would cancel everything out and use the opposite signs

1/5<2x-4/3<6

3 answers

oobleck?
Work with the same steps you use when solving a single equation.
This compound inequality is just a short way of writing two separate sentences.
1/5 < 2x - 4/3 < 6
1/5 + 4/3 < 2x < 6 + 4/3
23/15 < 2x < 22/3
23/30 < x < 22/6
oh, i see now. thank you
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