Question

Which number line represents the solutions to 1-2x1 = 4?

Answer 1

Third option:
`x = -2` and
`x = 2`

Explanation:

Given:

`|-2x|=4`

For a modulus function, if
`|f(x)|=a`, then,

`f(x)=\pm a`

Here,
`f(x)=-2x`,
`a=4`

∴
`-2x=\pm 4\\ -2x=-4\textrm{ or } -2x=4\\ x=(-4)/(-2)\textrm{ or }x=(4)/(-2)\\ x= 2\textrm{ or }x=-2`

Therefore, the third option is the correct answer as the graph has
`x` values as -2 and 2