Answer:
[tex]-3 < x < 2[/tex]
Step-by-step explanation:
Given:
Range: -3 to 2
Required:
- Write the inequality
- Represent on a number line
Let the variable be represented by x
The question says -3 and 2 are exclusive of x;
This implies that, -3 is less than x [tex](i.e.\ -3 < x)[/tex] and at the same time x is less than 2 [tex](i.e.\ x < 2)[/tex]
Write out the two inequalities
[tex]-3 < x[/tex] and [tex]x < 2[/tex]
Combine both inequalities
[tex]-3 < x < 2[/tex]
See attachment for number line
Notice that the circle on -3 and 2 are opened
This implies that -3 and 2 are exclusive of the inequality;
