Fill in the blank so that the resulting statement is true. In interval notation, (-2,00) represents the set of real numbers - 2. ..... In interval notation, (-2,00) represents the set of real numbers - 2. greater than greater than or equal to less than less than or equal to

Q: The perimeter of a rectangle is 40 feet. Describe the possible lengths of a side if the area of the…

A: Perimeter of the rectangle is 40 feet We know that the perimeter formula is 2(length + width) Let…

Q: Solve the inequality. Express the answer using interval notation. |2x| > 7

A: 2x>7

Q: Determine the values of the variable for which the expression is defined as a real number. (Enter…

A: Given: 1x2-2x-6312

Q: Rewrite the expression using the given property of real numbers. Commutative property of Addition, x…

A: Given, Rewrite the expression using the given property of real numbers. Commutative property of…

Q: Express the distance between the given numbers using absolute value. Then find the distance by…

A:

Q: Identify if the statement given is TRUE or FALSE x and y are integers.

A:

Q: For a hot air balloon to take off, the temperature of the air outside the balloon must be at least…

A:

Q: example of a real number greater than 0

A: All the positive , negative , rational , irrational numbers are called the real numbers. It can also…

Q: Solve the inequality. Express the answer using interval notation. 8 - |2x - 4| 21

A: As we know know that: If x≤a,a>0 then -a≤x≤a. Given: 8-2x-4≥ 1

Q: Final answer in interval notation

A: Answer and explanation is given below...

Q: Solve ((use interval notation to express solution sets and graph each solution set on a number…

A:

Q: Fill in the blank so that the resulting statement is true. - 6+ v6 - 4•3•5 X = simplifies to x = 2•3

A: Given,         x=-6±62-4·3·52·3

Q: 12x Assume that the variable X represents-a positive real number.

A: As we know that the radical rule: ab=ab;a≥0,b≥0   From the given problem: 12x8

Q: |? + 3| ≤ |?|.

A: for the inequality of the type ,                                              x+a≤x which on solving…

Q: Determine the values of the variable for which the expression is defined as a real number. (Enter…

A: SolutionDetermine  the value  of the variablefor which  the expression is defined  as a  real…

Q: Write the expression  |x − 5| + |x − 7|  without the absolute value symbols if x is in the given…

A: Consider the given expression as According to definition of absolute value of function,

Q: For Exercise, determine the sign of the expression. Assume that a, b, and c are real numbers and a…

A: Given,

Q: Fill in the blank so that the resulting statement is true. 7x-23 If In = In (x-3), then =x-3. x + 2

A: ln7x-23x+2=lnx-3⇒7x-23x+2=x-3

Q: fx x > 0 , and y 0 , determine the sign of the following real number xy - xz

A:

Q: Use absolute value notation to define the interval (or pair of intervals) on the real number line.…

A: Consider the figure given below :

Q: 2. Explain, using an example, how the distance between two points on a number line can be expressed…

A: Solution: The 2D distance between two points is measured by the distance formula. Consider points P1…

Q: What is the interval notation for × >-6 and × > -3

A: Given x > -6,   x > -3

Q: Graph the set {x |x<-5} on the number line. Then, write the set using interval notation. {x]x s -5}…

A:

Q: Express the distance between the given numbers using absolute value. Then find the distance by…

A: Given: The two numbers as -3.6 and -1.4

Q: On the real number line, the origin is assigned the number_______?.

A: Given: On the real number line, the origin is assigned the number_______?

Q: Fill in each blank so that the resulting statement is true. 74 -6--4--0-0 %3D 26 (List the terms in…

A:

Q: (a) Graph the intervals (-5, 3] and (2, 0) on the real number line.

A:

Q: Which interval notation represents -3 ≤x≤3? 1) [-3,3] 2) (-3,3] 3) [-3,3) (-3,3) 4) 1 O O O O a b n…

A: From the convention of interval notation, We can write: a≤x≤b  as x∈[a,b] which represents x which…

Q: Classify the statements as true, false, or not a valid mathematical statement. Explain your answer.…

A:

Q: (a) On the real number line, graph all numbers x for which x &gt; 4.(b) On the real number line,…

A: (1) we have to graph all numbers x for which x &gt; 4. The shaded region represents the shaded…

Q: For Exercise, determine the sign of the expression. Assume that a, b, and c are real numbers and a…

A:

Q: Determine the values of the variable for which the expression is defined as a real number. (Enter…

A: To find the values of the variable

Q: Fill in the blank : If a ≠ 0, the degree of axnym is ................... ?

A: If a≠0, the degree of axnym is ________.

Q: Write the interval in set notation. (-00, 2) {x-00 < x <2} O x 1 2 < x < 00} O x 1 2 ≤ x < 00} O…

A:

Q: Fill in each blank so that the resulting statement is true. -.... 5 2 -7-2--D-0 •2= 37 (List the…

A:

Q: Proof whether the equality is generally true

A: The equality is g∘f∘f-1∘g-1=f-1∘g-1∘g∘f We proceed as follows: Given: f:P→Q and g:Q→R are bijective.…

Q: The domain for all variables in the expressions below is the set of real numbers.Determine whether…

A: The statement (i) is true. The proof of that has been given in step 2.

Q: Fill in the blank so that the resulting statement is true.

A: The expansion of x! can be done in two ways as follows: First method: x!=xx-1x-2.....3·2·1 Second…

Q: Fill in the blank/s: In interval notation, (- ∞, -1] represents the set of real numbers…

A: Given:In interval notation  (-∞,-1] represnts the set of real numbers............... -1

Q: State all integer values of x in the interval [-5, 0] that satisfy the following inequality:

A: The given inequality is 4x+7≥-9The interval is -5, 0To find its solution

Q: Rewrite the expression without using the absolute value symbol. |x + 1|   if x ≥ −1     if x < −1

A: The given absolute value x+1 we have to rewrite the expression without using absolute symbol.

Q: Fill in each blank so that the resulting statement is true. 73 3--D-0 4 •3= 2 4 (List the terms in…

A: Given query is to find the number needs to the box to find the determinant.

Q: Fill in the blank so that the resulting statement is true. A consumer purchased a computer after a…

A:

Q: Solve the inequality. Express the answer using interval notation. |5x – 8| < 10

A: The objective is to solve the inequality and express the answer using interval notation.

Q: Simplify the expression. Assume that the letters denote any real numbers.

A: x3y63

Q: G2 show that the set of real numbers 7s Uncountable.

A: Since you have asked multiple questions, we will answer first one for you. If you want any specific…

Q: Express the distance between the given numbers using absolute value. Then find the distance by…

A: We know that distanced between two numbera,b using absolute values is given by d=b-a…

Q: The domain for all variables in the expressions below is the set of real numbers. Determine whether…

A: