How do you solve and graph #x ≥ 5 and x <1#?

1 Answer
Oct 1, 2017

Answer:

This system of inequalities has no solutions. See explanation.

Explanation:

This system of inequalities has no solutions.

The first inequality tells that tne number #x# is greater than or equal to #5#, but the second tells that the number #x# is less than #1#.

It is impossible to fulfill both those conditions at once. If a number is greater than #5#, it is also greater than #1#, so the second condition is not met.

graph{x>=5 [-10, 10, -5, 5]}

graph{x<1 [-10, 10, -5, 5]}

From those 2 graphs we can see that there are no points of intersect for those inequalities.