Question

t^2 - k^2 < 6
t + k > 4

If t and k are positive integers in the inequalities above and t > k, what is the value of t?

a. 1
b. 2
c. 3
d. 4
e. 5

Answer 1

Plug in each answer option and that's how you get the answer. @AriPotta

Answer 2

i know the answer, i just don't know how they got to that particular answer and i'd like to see what other people would do. it's not for a class or anything. i'm just studying for the SAT

Answer 3

t^2 - k^2 < 6
t + k > 4

based on eq1, the difference between t and k should be relevantly small (right?)
when t=4 and k=3, then
4^2 - 3^2 =7 which is more than 6, and it shouldn't be
lets pick,
t=3 and k=2, then
3^2 - 2^2 = 5
and 5 is less than 6.
Also,
eq2,
3 + 2 > 4

So t=3 and k=2

When you choose smaller integers equation 2 won't work
When you choose bigger integers, equation 1 won't work

Answer 4

Hope I helped you with a bunch of bs that I have put up.

Answer 5

lol thank you, it did help :)

Answer 6

yw:)