Question

Solve these with inequalities with integers WORTH 30 POINTS!! PLS HELP ASAP!!(show work pls and be organized) thank u x

1:-9x+10>-8
2:42>6(m+10)
3:10(n-11)>-60
4:-97<-11x-9
5:25x-9<-109

Answer 1

Explanation:

1, -9x+10>-8

solution

-9x>-8-(-10)

-9x>-8+10

-9x>2

−9x÷-9>2÷-9

x<-2\9

Answer 2

1. -9x+10>-8

subtract 10 from both sides

-9x > -18

divide by -2 (dividing by a negative number means you must flip the inequality sign too)

x<2

2. 42 > 6(m+10)

expand brackets on right hand side

42 > 6m + 60

subtract 60 from both sidez

-18 > 6m

divide by 6 to get 'm' on its own

-3 > m

3. 10(n-11) > -60

expand brackets on left hand side

10n-110 > -60

add 110 to both sides

10n > 50

divide by 5

n > 5

4. -97<-11x-9

add 9 to both sides

-88<-11x

divide by -11 and flip inequality sign

8>x or x<8

5. 25x-9<-109

add 9 to both sides

25x<100

divide by 25

x<4