Graduating this week need this all answered plz1. 14k+k< 302. 9d-3d+7 > 313. 13x-2x> 774. 5y< 7y + 185. 3f-12-10+9f6. 4t-8< 2t-27. 15h+ 16 > 6h-208. 4r-2r> 6-

Part A

1. 14k+k<30

Add the left hand side to get;

15k<30

Divide both sides by 15.

k<2

2. We have 9d-3d+7>31

Group similar terms to obtain:

9d-3d>31-7

Combine similar terms:

6d>24

Divide both sides by 6

This implies that:

d>4

3. We have 13x-2x>77

This implies:

11x>77

x>7

4. We have 5y<7y+18

This implies

5y-7y<18

-2y<18

Divide both sides by -2 and reverse the sign.

5. The given expression is;

3f-12>-10+9f

Group similar terms:

-12+10>9f-3f

-2>6f

Divide both sides by 6.

6. We have 4t-8<2t-2

Group similar terms;

4t-2t<-2+8

2t<6

t<3

7.  We have

15h+16>6h-20

Group like terms;

15h-6h>-20-16

9h>-36

Divide both sides by 9

h>-4

8. The given inequality is

4r-2r>6-r

This implies

4r-2r+r>6

3r>6

r>2

Part B

x-27=193

x=193+27

x=220

2. The given equation is

f(12)=48

or

12f=48

f=48/12

f=4

3. We have the equation 4s+2=74

4s=74-2

4s=72

s=18

4. The given equation is

9(r+1)-18=2r+12

Expand to get:

9r+9-18=2r+12

Group like terms:

9r-2r=12+18-9

7r=21

r=3