6x - 4 < 8
Add 4 to both sides:
6x < 12
Divide both sides by 6:
x < 2
Answer: x < 2
J + i + t = 36
j = 2i
t = j + 1.....t = 2i + 1
(2i + 1) + i + (2i) = 36
5i + 1 = 36
5i = 36 - 1
5i = 35
i = 35/5
i = 7 <=== Inez downloaded 7 songs
j = 2i = 2(7) = 14 <==Jane downloaded 14 songs
t = 2i + 1 = 2(7) + 1 = 15 <== Tracy downloaded 15 songs
They are easy to compare if they all have the same common denominator, then you can easily order them by the magnitude of the numerators...
85/10, -67/10, -56/10, 82/10 so now they are easy to compare...so
-6.7, -28/5, 8.2, 17/2
Answer:
..........
Step-by-step explanation:
Answer:
See proof below
Step-by-step explanation:
An equivalence relation R satisfies
- Reflexivity: for all x on the underlying set in which R is defined, (x,x)∈R, or xRx.
- Symmetry: For all x,y, if xRy then yRx.
- Transitivity: For all x,y,z, If xRy and yRz then xRz.
Let's check these properties: Let x,y,z be bit strings of length three or more
The first 3 bits of x are, of course, the same 3 bits of x, hence xRx.
If xRy, then then the 1st, 2nd and 3rd bits of x are the 1st, 2nd and 3rd bits of y respectively. Then y agrees with x on its first third bits (by symmetry of equality), hence yRx.
If xRy and yRz, x agrees with y on its first 3 bits and y agrees with z in its first 3 bits. Therefore x agrees with z in its first 3 bits (by transitivity of equality), hence xRz.
