Anja represents the inequality 4-g/8<-15 with the phrase “the quotient of the difference of 4 and a number and 8 is at least –15.”
Which describes Anja’s error?:

Anja phrase should have stated “the difference of a number and 4” not “the difference of 4 and a number”.

Anja phrase should have stated “the quotient of a number and 8” not “the quotient of the difference of 4 and a number and 8”.

Anja’s phrase should have ended with “less than –15”, not “at least –15”.

Anja’s phrase should have ended with “at most –15”, not “at least –15”.

the value of v.w= -12.

step-by-step explanation:

we are given three vector r,v and w as:

r = < 5, -5, -2> ; v = < 2, -8, -8> ; w = < -2, 6, -5>

we know that r,v and w could also be represented as:

r=5i-5j-2k

v=2i-8j-8k

and w= -2i+6j-5k

where i,j and k are the unit vectors of x,y and z-axis respectively.

also we know that it has the following property:

i.i=1 ; j.j=1; k.k=1

and i.=j.i=i.k=k.i=j.k=k.j=0

i.e. when we multiply two vectors or we find it's dot product we need to only multiply the components of x coordinates with each other; y with each other and z with each other.

hence, v.w= (2i-8j- -2i+6j-5k)

                  = 2×(-2)+(-8)×(6)+(-8)×(-5)

                  = -4-48+40

                  = -12

hence, v.w= -12

17.08

correct me if i am wrong.