`e)`
`-x^2 + x - 1 < 0`
`⇔ -x^2 + x - 1/4 - 3/4 < 0`
`⇔ -(x^2 - x + 1/4) - 3/4 < 0`
`⇔ -(x^2 - 2 . x . 1/2 + 1/4) - 3/4 < 0`
`⇔ -(x - 1/2)^2 - 3/4 < 0`
`Do (x - 1/2)^2 ≥ 0 `
`⇒ -(x - 1/2)^2 ≤ 0`
`⇒ -(x - 1/2)^2 - 3/4 ≤ -3/4`
`⇒ -(x - 1/2)^2 - 3/4 < 0 `
`⇒ -x^2 + x - 1 < 0`
`Vậy -x^2 + x - 1 < 0` `text(với mọi x )`