Question

3p + 4 ≥ −14 and 1 – 5p ≥ 39

Answer 1

1) p ≥ -6

2) p ≤ -38/5

Explanation:

3p + 4 ≥ -14

Subtract 4 to both sides

3p ≥ -14 - 4

3p ≥ -18

Divide 3 to both sides

p ≥ -18/3

p ≥ -6

`\rule[225]{225}{2}`

1 - 5p ≥ 39

Subtract 1 to both sides

-5p ≥ 39 - 1

-5p ≥ 38

Divide -5 to both sides

p ≤ -38/5

`\rule[225]{225}{2}`