Year 12s: what will be the first way you research your future options? >>

Set of values of x that satisfy two inequalities

Show on a graph the set of values of x that satisfy both 3x - 5 < 11- x and x^2 - 6x +5 <= 0

Basically what I don't understand is that in this example they shade everything that lies on the left from -5 and on the right from 1 because there's no 'y' variable in the inequality.
image-68a150b5-0ba9-412f-9a46-7b1216d1c1538656657520139145148-compressed.jpg.jpeg

image-68a150b5-0ba9-412f-9a46-7b1216d1c1538656657520139145148-compressed.jpg.jpeg

However, in the solution to the problem I have copied above they shade the inside of the parabole that is on the left from 4.
image-5d68f309-3cf5-4532-985d-901daa8f04645316042276617131939-compressed.jpg.jpeg

image-5d68f309-3cf5-4532-985d-901daa8f04645316042276617131939-compressed.jpg.jpeg

Why is that? The solution is 1 <= x < 4. So the graph should look like this:
image-f17aefe2-a290-4c35-b673-d652cb2d48472492510008988788319-compressed.jpg.jpeg