Which fraction is NOT equivalent to the point shown on the number line?
1 answer:
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Answer:
See proof below
Step-by-step explanation:
We will use properties of inequalities during the proof.
Let . then we have that
. Hence, it makes sense to define the positive number delta as
(the inequality guarantees that these numbers are positive).
Intuitively, delta is the shortest distance from y to the endpoints of the interval. Now, we claim that , and if we prove this, we are done. To prove it, let
, then
. First,
then
hence
On the other hand, then
hence
. Combining the inequalities, we have that
, therefore
as required.
14 hours a week
works 10 weeks
totally
earns $1,351
so
He makes $9,65 per hour.
M
works 10 weeks
totally
earns $1,351
so
He makes $9,65 per hour.
M