Question

If you knew the answer to an inequality was something (say, -2 < x <10/3) how would you work backwards to find the inequality problem?

Answer 1

there could be an infinite number of them

Answer 2

for example
\[-2<x<\frac{10}{3}\iff -6<3x<10\]
\[\iff -6+x<4x<10+x\] etc etc