For the inequality -4k > -16, the solution is k < 4.?

Just substitute any number lower than 4 to test the inequality, because it says that all numbers less than 4 is equal to the value of k.
Ex: let k = 3
(-4)(3) > (-16)
(-12) > (-16) which is true
but if we use k = 4 then
(-4)(4) > (-16)
(-16) > (-16) which is false or not true.

-4k > -16
k < -16/-4
k < 4

4 k < 16
k < 4

yes the answer is k<4. you would devide both side of in equality by -4. when you devide by negative, the inequalit sign flips. to check, put all the numbers less than 4 in place for k and solve. for ex put 3 in place for k. this gives u -4 multiply by 3 = -12. and -12 is bigger than -16.