The graphs of inequalities often intersect. Let's look at a simple one.
x<5 and x>4. The intersection is all x such that x>4 and x<5
or those numbers between 4 and 5 not including 4 and 5 itself.
If I want to include 4 and 5, just change it to < or = instead of strict
inequality.
Sometimes there is not an intersection. For example, x < 4 and x > 4, or x < -4 and x > 5, ... .
When the lines never intersect, usually when they are parallel.
Parallel lines never intersect
Parallel straight lines never intersect.
no they are straight lines that never intersect, intersecting lines intersect.
No, never. Parallel lines are line that will NEVER intersect.
Lines that never intersect are parallel.
Parallel lines never intersect.
In Euclidean geometry, parallel lines never intersect. They go this way forever and never intersect but watch this typing. _______________ _______________ In non-Euclidean geometry, they intersect when the faces are uneven.
parallel ============================================= Parallel. _____________________ _____________________ Those two lines will NEVER intersect.
The solution to a system of inequalities is where the solutions to each of the individual inequalities intersect. When given a set of graphs look for the one which most closely represents the intersection, this one will contain the most of the solution to the the system but the least extra.
parallel lines If they are not on the same plane and never intersect they are skew
A common shape that has lines that never intersect is the equals sign. Shapes that include intersecting lines but also have others that will never intersect include squares, rectangles, and rhombuses.