Respuesta :

-1[tex] \leq [/tex]x<3

we know that

A compound inequality contains at least two inequalities that are separated by either "and" or "or".

In this problem  the two inequalities are joined with "and"

so

we have

[tex] x < 3 [/tex] --------> inequality [tex] 1 [/tex]

[tex] x\geq -1 [/tex] --------> inequality [tex] 2 [/tex]

[tex] -1\leq x < 3[/tex] --------> compound inequality

The solution is the interval--------> [-1, 3)

The graph of the compound inequality represents the intersection of the graph of the inequalities