Which inequality gives the domain of `y = sqrt(2x-3)`?
- `x < 3/2`
- `x > 3/2`
- `x <= 3/2`
- `x >= 3/2`
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Which inequality gives the domain of `y = sqrt(2x-3)`?
`D`
`text(Domain exists when:)`
| `2x-3` | `>= 0` |
| `2x` | `>= 3` |
| `x` | `>= 3/2` |
`=>D`
Solve `1 - 3x > 10`. (2 marks)
`x < -3`
| `1 – 3x` | `> 10` |
| `-3x` | `> 9` |
| `x` | `< -3` |
Solve `3-5x <= 2`. (2 marks)
`x >= 1/5`
| `3-5x` | `<= 2` |
| `-5x` | `<= -1` |
| `x` | `>= 1/5` |
Solve `2 -3x <= 8`. (2 marks)
`x>=-2`
| `2 -3x` | `<= 8` |
| `-3x` | `<= 6` |
| `x` | `>= – 6/3` |
| `x` | `>= -2` |