I don't understand this!!!
If rstv=1 and stuv=0, which of the followin must be true?
a.r<1
b.s<1
c.t>1/2
d.u=0
e.v=0
for the second set to be zero, one of the letters has to equal zero. In the first set, none are zero. What new letter is in the second set?
I don't understand your question
for the second set to be zero, one of the letters has to equal zero. In the first set, none are zero. What new letter is in the second set?
u?
To solve this problem, let's break down the given expressions:
rstv = 1 and stuv = 0
Looking at the second expression, "stuv = 0," we can deduce that one of the letters s, t, u, or v must be equal to 0 for the entire expression to be 0.
In the first set "rstv = 1," none of the letters r, s, t, or v are equal to 0. Therefore, there must be a new letter in the second set.
By process of elimination, the new letter in the second set must be u, since it is the only variable that has not appeared in the first set.
Now let's consider the given answer choices and determine which ones must be true based on the given information:
a. r < 1: We cannot determine whether this is true or false based on the given information since we do not know the value of r.
b. s < 1: We also cannot determine whether this is true or false based on the given information since we do not know the value of s.
c. t > 1/2: Similarly, we cannot determine whether this is true or false based on the given information since we do not know the value of t.
d. u = 0: This is true since we established that one of the letters in the second set must be equal to 0.
e. v = 0: We cannot determine whether this is true or false based on the given information since we do not know the value of v.
Therefore, the only statement that must be true is "d. u = 0" since we determined that u must be equal to 0 for the entire expression "stuv = 0" to hold true.