I need to get to 100 percent please help me this is due tomorrow
2 answers:
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The complete question in the attached figure
we have that
(x²<span> - 25)/ (x - 5)
we know
</span>(x² - 25)-------------> (Difference of two squares)----------> (x+5)*(x-5)
then
(x² - 25)/ (x - 5)<span>-------> (x+5)*(x-5)/(x-5)------------> (x+5)
the answer is the option B)
(x+5)</span>
we have that
(x²<span> - 25)/ (x - 5)
we know
</span>(x² - 25)-------------> (Difference of two squares)----------> (x+5)*(x-5)
then
(x² - 25)/ (x - 5)<span>-------> (x+5)*(x-5)/(x-5)------------> (x+5)
the answer is the option B)
(x+5)</span>
The solution for the first inequality is a ≥ 2 or a ∈ [2, ∞), and for the second inequality the solutions are b < -5 or b ∈ (-∞, -5)
<h3>What is inequality?</h3>It is defined as the expression in mathematics in which both sides are not equal they have mathematical signs either less than or greater than known as inequality.
We have two inequalities:
a.) -12a +7 ≤31
b.) -9 > 3b +6
a) -12a +7 ≤ 31
-12a ≤ 31 - 7
-12a ≤ 24
-a ≤ 2
a ≥ 2 (sign changed because multiplied by a negative number)
a ∈ [2, ∞)
b.) -9 > 3b +6
-15 > 3b
-5 > b
or
b < -5
b ∈ (-∞, -5)
Thus, the solution for the first inequality is a ≥ 2 or a ∈ [2, ∞), and for the second inequality the solutions are b < -5 or b ∈ (-∞, -5)
Learn more about the inequality here:
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