The set of integers that satisfy the inequality is x ∈ (-∞, 30) where x is an integer.
<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.
The question is incomplete.
The complete question is:
Set of integers x such that x - 5 is less than 25.
We have an inequality:
x - 5 < 25
Adding 5 both sides:
x - 5 + 5 < 25 + 5
x < 30
x ∈ (-∞, 30) where x is an integer.
Thus, the set of integers that satisfy the inequality is x ∈ (-∞, 30) where x is an integer.
Learn more about the inequality here:
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It’s less than cuz 2/10 is less than 3/10 (<)
Answer: -8.5
Step-by-step explanation:
I got it right on edg
Use the following identities:
![sec^2 = 1 + tan^2 \\ \\ sec = \frac{1}{cos} \\ \\ sin^2 = 1 - cos^2](https://tex.z-dn.net/?f=sec%5E2%20%3D%201%20%20%2B%20tan%5E2%20%5C%5C%20%20%5C%5C%20sec%20%3D%20%5Cfrac%7B1%7D%7Bcos%7D%20%5C%5C%20%20%5C%5C%20sin%5E2%20%3D%201%20-%20cos%5E2)
Also because the angle is in quadrant 3, sin must be negative.
Therefore
![sin = - \sqrt{1 - \frac{1}{1 + tan^2}}](https://tex.z-dn.net/?f=sin%20%3D%20-%20%5Csqrt%7B1%20-%20%5Cfrac%7B1%7D%7B1%20%2B%20tan%5E2%7D%7D)
Subbing in tan = 0.958
1) Here, QR = QP + PR
52 = 16 + PR
PR = 52 - 16 = 36
In short, Your Answer would be Option C
2) Slope of mentioned line:
m = (5+5) / (0-4)
m = 10/-4
m = -5/2
Parallel lines have same slope so it would be -5/2 as well
In short, Your Answer would be Option B
Hope this helps!