Question

How do you solve `7>1-2x<=10`?

Answer 1

Split the compound inequality into 2 simple inequalities;
simplify each;
re-combine

`7>1-2x<=10`

Inequality Part 1:
`7>1-2x`
`rarr 2x > -6`
`rarr x> -3`

Inequality Part 2:
`1-2x<=10`
`rarr -9 <= 2x`
`rarr x>= -9/2`

Recombining:
`x> -3` and `x>=-9/2`
simplifies to
`x > -3` (since if `x> -3 rarr x>= -9/2`)