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.