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2 months ago

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

Mathematics

1 answer:

Svet_ta [12.7K]2 months ago

7 0

Response:

a) True

b) True

c) False

d) True

e) False

f) True

g) False

Explanation:

a) Q(0) holds true because;

when substituting x= 0 in x+1>2x

==> 0+1>2×0

==> 1>0

b) Q(-1) is accurate because;

if we input x= -1 into x+1>2x

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

==> 0> -2

c) Q(1) is incorrect because;

by inserting x=1 into x+1>2x

==> 1+1> 2 ×1

==> 2>2

which is untrue!

d) The assertion is accurate because;

When x=0 is inputted in x+1>2x

==> 0+1>2×0

==> 1>0

e) The statement is untrue because;

input x=1 yields a false outcome for the statement !

f) The assertion is valid because;

Supposing x=3,

3+1≤2×3

==> 4≤6

This makes the statement accurate

g) The assertion is incorrect because

Assuming x=0 leads to x+1≤2x, resulting in,

0+1≤2×0

==> 1≤0

This is false - thus x+1≥2x is valid

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Answer:

Elia took $\dfrac{5}{11}$ hour to cycle from her residence to the beach, $\dfrac{6}{11}$ hour to return, and traveled

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