Question 974807
<pre>
(4 - x &#8804; -1) &#8745; (2 + 3x &#8805; 17).

(-x &#8804; -5) &#8745; (3x &#8805; 15).

The inequality reverses in the left part since we are dividing 
through by a negative number -1.

(x &#8805; 5) &#8745; (x &#8805; 5).

Draw each part on a number line

-------------------------------@===========>  That's x &#8805; 5
-5 -4 -3 -2 -1  0  1  2  3  4  5  6  7  8  9


-------------------------------@===========>  That's x &#8805; 5 
-5 -4 -3 -2 -1  0  1  2  3  4  5  6  7  8  9

Intersection &#8745; means to use ONLY the part where the two
graphs overlap, that is, the part of the number line where
BOTH are true and darkened or shaded ===.  @ means a darkened circle.

But they (overlap) intersect EVERYWHERE!!!

-------------------------------@===========>
-5 -4 -3 -2 -1  0  1  2  3  4  5  6  7  8  9

So that is x &#8805; 5, which in scientific notation is [5,oo)
where oo indicates "infinity".

Edwin</pre>