If -1<y-5<1,which of the following statement about y is True or False?

Question

(a) y>4
(b) y<6

Answer 1

Both are unequivocally true.
Any number which satisfies -14 and y<6. It is amazing to me that anyone would say otherwise. To those of you who said false, I suggest that you stick to answering questions with subjects about which you actually know something, or questions requiring an opinion, and stay away from this category as you will only confuse people needlessly.

Answer 2

Add 5 to everything and you get 4

Answer 3

Both are false. Both a and b have values which are true, but each also contain values which would be false. The correct expression would be y>4 and y<6 or 6>y>4.

Answer 4

(a) True
(b) True

4 Add 5 to every side of the inequality
-1 4 4 44
y>6

Answer 5

-1 -1+5 4 i.e.y>4 &y<6
i.e. Both (a) &(b) are true

Answer 6

neither of the ans. is correct as there is no equality sign between them so if we choose 4, then we will get-1, and this is not possible the -1<-1
and in the same way if we choose 6,
1<1 which is absurd again so both are false

Answer 7

both statement are false, because the condition for (y-5) is to be strictly greater than -1 and strictly lesser than 6, for every value of y.
Althogh there are some values of y that make both statements true (when y is greater than 4 and lesser than 6), they are not true for every value of y.

Answer 8

Both (a) and (b) are true only when y = 5
Check:
y = 5
y - 5 =0
Hence, -1<0<1

Answer 9

y<6 is true... but y>4 is not true because inequalities have always have RHS positive.

Answer 10

false