Answer:
x>-9
Explanation:p
1.) Subtract 1 from both sides
-2/3x+1<7
-1<-1
= -2/3x < 6
2.) Multiple the 3 (denominator) in order to get rid of the fraction
3(-2/3x) < (6)3
= -6/3x < 18 (simplify the 6/3 into 2)
= -2x < 18
3.) Divide by -2 (when you divide with a negative number, your sin is going to switch, meaning it will turn into a '>' sign)
-2x / -2 < 18/-2
= x > -9
*ALSO*
If you want to graph it on a number line, it would look something like the picture above. (the circle is open because it doesn't have the line underneath. You're symbol also indicates which way you shade!! < = left .....> = right.....think of them like arrows :) )