4>8-3x/5>-2 I am having trouble solving this using interval notation.

Question

I cannot solve this problem using interval notation.   Could you please help me with the correct steps.

Thank you

Answer 1

Question: Solve 4>8-3x/5>-2.

Split the above inequality into two inequalities.

4 > 8 - 3x/5 and 8 - 3x/5 > -2

Working both inequalities together,

-4 > -3x/5    and   10 > 3x/5

-20 > -3x      and    50 > 3x

20/3 < x      and     x < 50/3

fitting the two inequalities together,

20/3 < x < 50/3

In set notation: x є  (20/3,50/3}