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.
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Solving for x.
Add by to both sides
Ax=c+by
Divide both sides by a
x=c+by
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a
<h3>
Answer: Choice A</h3>
- Domain: x > 4
- Range: y > 0
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Explanation:
We want to avoid having a negative number under the square root. Solving
leads to 
So it appears the domain could involve x = 4 itself; however, if we tried that x value, then we'd get a division by zero error.
So in reality, the domain is x > 4.
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The range of y = sqrt(x) is the set of positive real numbers. So y > 0 is the range for this equation. Shifting left and right does not affect the range, so the range of y = sqrt(x-4) is also y > 0.
We are dividing a positive number (3) over some positive number in the denominator. Overall, the expression
is positive because positive/positive = positive.
Therefore, the range of the given equation is y > 0
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The graph is shown below. We have a vertical asymptote at x = 4 and a horizontal asymptote at y = 0. The green curve is fenced in the upper right corner (northeast corner).
Answer:
(2x^3-2x^2-12x) is the required product.
Step-by-step explanation:
The given equation is:
2x(x-3)(x+2)
Solving the above given equation, we get
=(2x^2-6x)(x+2)
which can be written as:
=(2x^3-6x^2+4x^2-12x)
Solving the like terms, we get
=(2x^3-2x^2-12x)
which is the required product of the given expression.