graph the compound inequalities

Question

sole the Inequality and graph its solution

-14<7+<21

Answer 1

I'll assume that + sign should be an x.

 

 

So:

 

-14 < 7x < 21

 

Divide everything by 7 to isolate x:

 

-2 < x < 3

 

 

Now, create a number line. x can be any value between -2 and 3, not including -2 and 3 themselves. Draw open circles around -2 and 3 (to indicate that they are not included) and shade everything between the two values (to indicate that x can be any of those).