Step by step answer.
g / -1 + 10 < 7
-g + 10 < 7
-g + 10 - 10 < 7 - 10
-g < -3
-g / -1 < -3 / -1
g > 3 --) answer
The reason why the sign is filpped is that because of g is the opposite of -g and if -g was less than 3 then g is greater than 3.
Answer:
[tex]\large\boxed{g>3\to g\in(3,\ \infty)}[/tex]
Step-by-step explanation:
[tex]\dfrac{g}{-1}+10<7\qquad\text{subtract 10 from both sides}\\\\-g<-3\qquad\text{change the signs}\\\\g>3[/tex]
