Question

Pleas help show work

Answer 1

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 2

`\large\boxed{g>3\to g\in(3,\ \infty)}`

Explanation:

`(g)/(-1)+10<7\qquad\text{subtract 10 from both sides}\\\\-g<-3\qquad\text{change the signs}\\\\g>3`