Answer:
x(3y - 1) and (2a - 3)(2a + 3)
Step-by-step explanation:
(1)
3xy - x ← factor out x from each term
= x(3y - 1)
(2)
4a² - 9 ← is a difference of squares and factors in general as
a² - b² = (a - b)(a + b) , then
4a² - 9
= (2a)² - 3²
= (2a - 3)(2a + 3)
(B) –9 < x – 4 < 9 inequality is equivalent to Ix-4I <9.
<h3>
What is inequality?</h3>
- Inequality is a statement of an order relationship between two numbers or algebraic expressions (greater than, greater than, or equal to, less than, or less than or equal to).
- Inequality is defined as a difference in size, amount, quality, social position, or another factor.
- Inequality occurs when you have ten of something and someone else has none.
- (mathematics) A statement stating that one quantity is less than (greater than) another.
So, Ix-4I <9:
- |x-4|<9 ⇒ -9 < x-4 < 9
- -5 < x < 13
Therefore, (B) –9 < x – 4 < 9 inequality is equivalent.
Know more about inequality here:
brainly.com/question/11613554
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The complete question is given below:
Which inequality is equivalent to I x-4 I <9?
A –9 > x – 4 < 9
B –9 < x – 4 < 9
C x – 4 < –9 or x – 4 < 9
D x – 4 > –9 or x – 4 < 9
Answer:
In mathematics, a power of three is a number of the form 3n where n is an integer, that is, the result of exponentiation with number three as the base and integer n as the exponent.
Answer:
Step-by-step explanation:
equal
