−8≤2/5(k−2)
Multiply the numbers in the parenthesis by 2/5
[tex]-8\leq \frac{2}{5}k-\frac{4}{5}[/tex]
Multiply both sides by 5
[tex]-40\leq 2k-4[/tex]
Move the terms and change the sign
[tex]-2k\leq -4+40[/tex]
Divide both sides by -2
[tex]-2k\leq 36[/tex]
Final answer would be
[tex]k\geq -18[/tex]
FYI you change the >/< signs whenever you're dividing or multiplying a negative
