Why can't "a-b" equal "b-a"? assuming a and b are nonzero real numbers

Q: Find the distance between -5 and 3 on the real number line.

A: The distance between -5 and 3 on the real number line is,

Q: How do you determine what the negative integers greater than -7 are?

A: We can determine negative integers greater than -7 from real line or from set on integers.

Q: Find the distance between -4 and 5 on the real number line.

A: Given  The -4  and 5  points on the numbers on real number line .

Q: Does the symbol for infinity (q) represent a real number?

A: Yes, the symbol for infinity (∞) represents a real number.  Infinity (∞) means a very big number.…

Q: For what values of x is the expression   3x − x2 defined as a real number? (Enter your answer using…

A: Real numbers are the numbers that can be represented on the real number line. It can be positive,…

Q: Give an example of a positive number and a negative number whose product is between the two factors.…

A: First number = -2 And second number = 1/2

Q: Is 0 a real number?Justify

A: Yes, 0 is a real number. By definition, the real numbers consist of all of the numbers that make up…

Q: If a and b are real numbers, the commutative property of addition states that a + b =

A: If a and b are real numbers, the commutative property of addition states that a+b =    Suppose two…

Q: negative numbers

A: Product of two negative number is a positive number. A positive number is always greater than a…

Q: Find the distance between -7 and 9 on the real number line.

A: Given numbers -7 and 9

Q: Why is √-9 not a real number?

A: A number which can be expressed using the real number system is called real numbers .A real number…

Q: How would you convince someone that (x - 4)/(4 - x) = -1 for all real numbers except 4?

A: here given rational equation such that x-44-x=-1where x≠4

Q: State the property of equality or the property of real numbers that justifies the statements. c(x) =…

A: We have to state the property pf equality or the property of real number that justify the given…

Q: how can i didvide a number that have an x on it for example 3x+5

A: Topic:- algebra  Lets assume (3x+5) divided by 6

Q: Express the interval shown on the number line in interval notation. -12 -10 -8 -6 -4 -2 4 6. 8 10 12

A: see below the answer

Q: What is the completeness property of the real numbers?

A: Define completeness property of the real number.

Q: What is the logical first step in rationalizing the denominator 3 :? 1 + Vr of

A: Given that: The rational equation is 31+x .

Q: Express the interval shown on the number line in interval notation. -12 -10 -8 -6 -2 6 8 10 12

A: Given : A line segment with compound inequality Compound inequality: it is actually two or more…

Q: Joaquin drove from Newark, NJ, to New Brunswick during rush hour at an average speed of 3030miles…

A:

Q: Simplify and also, list all numbers that must be excluded from the domain : (x3 + 2x2) / (x + 2)

A: Given expression is x3+2x2x+2 We know that denominator shouldn't be zero. Given expression is…

Q: negative numbers

A: Product of two negative number is a positive number. Any positive number always greater than any…

Q: Two sides of a quadrilateral have the same length, x, whilethe other two sides have the same length,…

A: Concept - Odd numbers are those that are not divisible by 2.1, 3, 5, 7, 9…

Q: The notation 2 < 5 means that 2 is to the of 5 on a number line.

A: The notation 2&lt;5 means that 2 is to the _________ of 5 on a number line.

Q: Is square root of 11 a real number

A:

Q: Simplify. 27t 10 Assume that all variables represent positive real numbers.

A:

Q: number that can be expressed in the form ?/?, where a and b are

A:

Q: What is the real number line?

A: To define: Real number line.

Q: ² -1

A:

Q: A piece of land is to be fenced and subdivided as shown so that each rectangle has the same…

A: Given, Length of one smaller piece of land (l)= 3x+3 Breadth of one smaller piece of land (b)= x…

Q: If the arithmetic mean of two unequal positive real number 'a' and 'b’, (a > b), be twice as great…

A:

Q: Why must a and b represent nonnegative numbers when we write √a . √b = √ab ? Is it necessary to use…

A: Given: a,b&gt;0 we know that if a, b&gt;0 then a.b=a.b and 3a.3b=3a+b so,  3a.3b≠3ab

Q: how would I put all real numbers as an answer for H

A: Domain is the input that a function can take. So  If you put any value of x in h(x) then you will…

Q: If you subtract 1 - 1 that equals zero. Would 0 have an opposite (-0) or would it just be a neutral…

A:

Q: Why it is possible to find two negative numbers whose product is greater than both numbers? Use an…

A: We need to find two negative numbers whose product is greater than both numbers by using an example.…

Q: Express the interval shown on the number line in interval notation. -12 -10 -8 -6 -4 -2 2 8. 10 12…

A:

Q: Use the product rule to simplify the expressions .Assume that variablesrepresent nonnegative real…

A: Given expression is 125x2

Q: Evaluate -(-6)-3 . Express in rational form

A:

Q: only rational numbers?

A: ANSWER A  IS CORRECT.

Q: Is -3 a integer, rational, irrational or real number?

A: We have to find

Q: Would the product of a rational and an irrational number be a rational or irrational?

A:

Q: State the property of real numbers being used. 3 + 2x = 2x + 3

A: 3+2x=2x+3

Q: The ____properties of addition and multiplication indicate that the order in which two real numbers…

A: Given: The ____ properties of addition and multiplication indicate that the order in which two real…

Q: Express the interval shown on the number line in interval notation. -12 -10 -8 -6 -4 -2 2 4 8 10 12

A:

Q: Simplify. 20s12,11 20s11 Assume that all variables represent positive real numbers.

A:

Q: Give an example of a positive number and a negative number whose product is between the two factors.…

A: Explanation of the answer is as follows

Q: Is 2k-1 odd or even number? Write conclusion

A: Thus, 2k is an even number since it is a multiple of 2.  Hence, 2k-1 will be an odd number.

Q: Use the quotient rula to simplify. Assuma that all variables represent positive real numbers. 324

A:

Q: How can you Identify between rational and irrational numbers?

A: A rational number is a number that can be expressed as the quotientor fraction p/q of two integers ,…

Q: What is true about the sign of the difference when a positive integer is subtracted from a negative…

A:

Q: The Giants football team lost 13 yards on their first play but gained 22 yards on their second play.…

A: Let gain yards be positive  and lost yards be negative

Statements and Logic

Logic is the analysis of general patterns of thoughts without regard to any specific sense of context.