To see how the solution set changes, suppose the coordinate pair (a, b) satisfies the original inequality. If a stays the same,
b must be its previous value to satisfy the new inequality.
2 answers:
Answer:
No, If a stays the same b must be a value within the interval that satisfy the inequality.
Step-by-step explanation:
An inequality provides an interval as a solution. So, actually the solution of an inequality comprises many coordinate pairs. To show that, let's show this graphically. Instead of (a, b), let's work with numbers.
Let's use as an example a -b <0
1) Suppose a=1, b=3
2) If a stays the same value, i.e. 1, then b=?
Then b>1
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Answer:
The expression that represents the number of days until only 10% remains is T((d) 10 %) =100×.
Step-by-step explanation:
The equation for half life is of the form
A = A₀×.........................................................................(1)
Where
A = Final amount
A₀ = Initial amount
t = Time
h = Half life
For the equation T(d) = 100×2⁽⁻²⁾....................................(2)
We have by comparison with the equation for half life
2 ≡ and and the equation (2) can be written as
Percentage remaining after 2 half lives is
×100=100×
However if the half life of Technetium-99m is 6 hours then we have for one day
×100=100×
Therefore an expression that represents the number of days until only 10% remains is
×100=100×
= 10 %
=
= ㏑ = ㏑(
)
= ×㏑
= ㏑(
)
=
= 3.322
Therefore the expression for the number of days 10 % of Technetium-99m will be remaining is
T((d) 10 %) =100×