Let Q(x) be the statement "x +1 2x." If the domain consists of all integers, what are these truth values?

a. Q(0)

b. Q(-1)

c. Q(1)

d. ∃xQ(x) There exists an x such that Q(x)

e. ∀xQ(x) For all x such that Q(x)

f. ∃x¬Q(x)

g. ∀x¬Q(x)

a) True

b) True

c) False

d) True

e) False

f) True

g) False

Step-by-step explanation:

a) Q(0) is true because;

put x= 0 in x+1>2x

==> 0+1>2×0

==> 1>0

b) Q(-1) is true because;

if we put x= -1 in x+1>2x

==> -1+1>2 (-1)

==> 0> -2

c) Q(1) is false because;

if we put x=1 in x+1>2x

==> 1+1> 2 ×1

==> 2>2

which is not true!

d) the statement is true because;

If we put x=0 in x+1>2x

==> 0+1>2×0

==> 1>0

e) The statement is false because;

if we put x=1 then statement becomes false as well !

f) The statement is true because;

If x=3

3+1≤2×3

==> 4≤6

So our statement is true

g)  The statement is false because

If we suppose x=0 and x+1≤2x

then,

0+1≤2×0

==> 1≤0

Which is false - so x+1≥2x is true

.24

step-by-step explanation:

the probability is   .24

the first player had the highest probability of getting a silver marble

the game could be made fair by adding back the marble that was drawn after each draw

this excerpt is taken from the book “we shall not be moved : the women’s factory strike of 1909 “ and is written by joan dash. it is the story of the great strike when almost 30thousand women working in factories in america formed a union to fight unsafe working conditions, long working hours and miserable wages.

question: which best states the author’s purpose for including this information in the text?

answer: to challenge the reader’s ideas about a historical event