Question

-5 < x - 4 greater than it equal 1

Answer 1

We have expression $-5 < x - 4 \geq 1$ that renders the system of inequalities,

$

\begin{cases}

-5 < x - 4 \\

x - 4 \geq 1

\end{cases}

$

Which can be simplified to,

$

\begin{cases}

x > -1 \\

x \geq 5

\end{cases}

$

So what we get is something greater than -1 and at the same time greater or equal to 5, so the solution is,

$x\in(\infty,-1)\cap(\infty, 5]=\boxed{(\infty,5]}$.

Hope this helps.