Question

Victoria is 4 years older than her neighbor. the sum of their ages is no more than 14 years.enter an inequality that can be used to represent this situation in the first box, where x represents victoria's neighbor's age.

Answer 1

V is 4 more tha x
v=4+x
sum is no more than 14
v+x≤14

sub 4+x for v
4+x+x≤14
4+2x≤14
minus 4 both sides
2x≤10
divide both sides by 2
x≤5
5+4=9

the neighboor's age is at most, 5 years
and victoria is 9 at most

Answer 2

If the neighbor was 10 and Victoria was 14, then then sum of their ages would be 24. So actually it would be (v + 4) + x = 14 and which would mean Victoria would have to be 9 and her neighbor is 5. There. I think that's right