`2(X - 1) lt X + 5, 3 (X + 2) gt 2 - X `

Answer

N/a

Explanation

`2(X - 1) lt X + 5 and 3(x + 2) gt 2 - x `
`rArr 2x - 2 lt x + 5 and 3x + 6 gt 2 - x `
`rArr 2x - x lt 5 + 2 and 3x + x gt 2 - 6 `
`rArr x lt 7 and 4x gt - 4 `
`rArr x lt 7 and x gt - 1`
`rArr - 1 lt x lt 7 `
`:. x in ( - 1, 7 )`
Solution on number line