Solve the inequality and show work (7 And 5 below are dividing lines) 2 (n+1) ⁷ ≥ n+4 7. 5

2 (n + 1) ≥ n + 4

7 5

2 (n) + 2 (1) ≥ n + 4

7 5

2n + 2 ≥ n + 4

7 5

5 (2n + 2) ≥ 7 (n + 4)

5 (2n) + 5 (2) ≥ 7 (n) + 7 (4)

10n + 10 ≥ 7n + 28

-7n - 7n

3n + 10 ≥ 28

-10 - 10

3n ≥ 18

3 3

n ≥ 6

2 (n+1) / 7≥ (n+4) / 5

Multiply both sides by 35:

10 (n+1) ≥7 (n+4)

10n+10≥7n+28

Subtract 7n from both sides:

3n+10≥28

Subtract 10 from both sides:

3n≥18

Divide 3 from both sides:

n≥6

Check:

(2 (6+1)) / 7 = (6+4) / 5

2 (7) / 7=10/5

14/7=10/5

2=2