[tex]\huge\bf{ANSWER:}[/tex]
[tex]\huge\mathrm{No\:solution.}\checkmark[/tex]
[tex]\huge\bf{SOLUTION}:[/tex]
Hey there, hope you are having a wonderful day! :)
Let's solve this inequality.
First of all, let's move all the numbers to the right, using the [tex]\bf{\underline{opposite\:\:operation\:}[/tex]:
[tex]\longmapsto[/tex][tex]\sf{x-1\geq 4+x[/tex]
[tex]\longmapsto\sf{x\geq 4+x+1[/tex]
[tex]\longmapsto\sf{x\geq x+5[/tex]
Now, let's move the variables to the left:
[tex]\longmapsto\sf{x-x\geq 5[/tex]
[tex]\longmapsto\sf{0\geq 5[/tex]
Now, as you can see, we ended up with a false statement. 0 is NOT greater than 5.
Thus, there are no values of x that make the inequality true, and the inequality has
[tex]\bold{No\:solutions.}[/tex]
Hope you find it helpful.
Feel free to ask if you have any doubts.
[tex]\bf{-MistySparkles^**^*[/tex]