Question

How do you solve −8≤2/5(k−2)

Answer 1

−8≤2/5(k−2)

Multiply the numbers in the parenthesis by 2/5

`-8\leq (2)/(5)k-(4)/(5)`

Multiply both sides by 5

`-40\leq 2k-4`

Move the terms and change the sign

`-2k\leq -4+40`

Divide both sides by -2

`-2k\leq 36`

Final answer would be

`k\geq -18`

FYI you change the >/< signs whenever you're dividing or multiplying a negative