MATH SOLVE

5 months ago

Q:
# Solve x<3 and x≥−1 and write the solution in interval notation. If there is no solution, type ∅ .

Accepted Solution

A:

Shown in the Figure belowStep-by-step explanation:In this exercise, we have the following system of inequalities:[tex]x<3 \ and \ x \geq -1[/tex]The word and means intersection, so both inequalities must be true at the same time. We can graph this system as indicated in the figure below. Indeed, there is intersection between -1 and 1. Also, the number -1 is included in the solution because [tex]x\geq -1[/tex] and this is represented by the closed circle. On the other hand, the number 3 is not included in the solution because [tex]x<3[/tex] and this is represented by the open circle.Learn more:Inequalities: