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

Oct 1, 2017

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.