Question

How do you solve `x-5 < 7 - 2x <= 3`?

Answer 1

Split up the inequalities first

Explanation:

(1)
`x-5<7-2x`
add 5 and add `2x` on both sides:
`->3x<12->x<4`

(2)
`7-2x<=3`
add `2x` and subtract 3 on both sides:
`->4<=2x ->2 <= x`

(3)
Combining these:
`2<=x<4`