How can I achieve this alignment?

[languid ruin]

I have this code,

\begin{align*}
        <^{-1} &= > &\text{because }& b > a &\Leftrightarrow a < b \\
        \complement{<} &= \geq &\text{because }& a \geq b &\Leftrightarrow \neg\left(a < b \right)
    \end{align*}

[slender tangle]

vs404

[languid ruin]

my version of complement achieves the '

[indigo jasper]

\begin{align*}
        <^{-1} &= > &\text{because }& b > a &\Leftrightarrow& a < b \\
        \complement{<} &= \geq &\text{because }& a \geq b &\Leftrightarrow& \neg\left(a < b \right)
    \end{align*}```

[slender tangle]

Angetenar

[languid ruin]

In the screen shot each part is closer together, with more space around the equals

and the statement after the because is with the connective

[indigo jasper]

\begin{align*}
        <^{-1} = > &\;\text{because } b > a \Leftrightarrow a < b \\
        \complement{<} = \geq &\;\text{because } a \geq b \Leftrightarrow \neg\left(a < b \right)
    \end{align*}```

[slender tangle]

Angetenar