Resourcesdown chevron
Testimonials
Plans
Sign in
Sign up
Resourcesright arrow
Testimonials
Plans
Bytelearn - cat image with glassesAI tutor

Welcome to Bytelearn!

Let’s check out your problem:

What does the set \{x | x < 13 \text{ or } x > 15\} represent?\newlineChoices:\newline(A)all numbers less than or equal to 1313 or greater than or equal to 1515\newline(B)all numbers greater than 1313 or less than 1515\newline(C)all numbers less than 1313 or greater than 1515\newline(D)all numbers less than or equal to 1313 or greater than 1515

View step-by-step helpView step-by-step help
Homeright chevron icon
Math Problemsright chevron icon
Algebra 1right chevron icon
Set-builder notationright chevron icon

Full solution

Q. What does the set {x∣x<13 or x>15}\{x | x < 13 \text{ or } x > 15\} represent?\newlineChoices:\newline(A)all numbers less than or equal to 1313 or greater than or equal to 1515\newline(B)all numbers greater than 1313 or less than 1515\newline(C)all numbers less than 1313 or greater than 1515\newline(D)all numbers less than or equal to 1313 or greater than 1515
  1. Understand set notation: Understand the set notation.\newlineThe set {x | x < 13 \text{ or } x > 15} uses the ＂|＂ symbol to mean ＂such that,＂ and the inequality signs ＂<＂ and ＂>＂ to denote ＂less than＂ and ＂greater than,＂ respectively. The ＂or＂ in the set notation indicates that the set includes numbers that satisfy either one of the conditions: being less than 1313 or being greater than 1515.
  2. Analyze choices: Analyze the choices in relation to the set notation.\newline(A) suggests all numbers less than or equal to 1313 or greater than or equal to 1515, which is incorrect because the set notation does not include the numbers 1313 and 1515 themselves.\newline(B) suggests all numbers greater than 1313 or less than 1515, which is incorrect because the set notation specifies numbers less than 1313 and greater than 1515, not between them.\newline(C) suggests all numbers less than 1313 or greater than 1515, which matches the set notation exactly.\newline(D) suggests all numbers less than or equal to 1313 or greater than 1515, which is incorrect because the set notation does not include the number 1313.
  3. Choose correct answer: Choose the correct answer based on the analysis.\newlineFrom the analysis in Step 22, the correct choice that represents the set {x | x < 13 \text{ or } x > 15} is (C) all numbers less than 1313 or greater than 1515.

More problems from Set-builder notation

Question
Let R={−4,4,14} R = \{-4, 4, 14\} and S={2,12} S = \{2, 12\} . What is R∪S R \cup S ?\newlineChoices: \newline(A) {−4,2,4,12,14} \{-4,2,4,12,14\} \newline(B) Φ \Phi \newline(C) {2,4,12} \{2, 4, 12\} \newline(D) {−4,2} \{-4, 2\}
Get tutor helpright-arrow

Posted 9 months ago

Question
Which is the set of integers greater than or equal to 00 and less than or equal to 66?\newlineChoices: \newline(A){1,2,3,4,5,6}(A)\{1,2,3,4,5,6\} \newline(B){0,1,2,3,4,5,6}(B)\{0,1,2,3,4,5,6\}\newline (C){null set}(C)\{\text{null set}\} \newline(D){1,6}(D)\{1,6\}
Get tutor helpright-arrow

Posted 9 months ago

Question
Which is the set of numbers less than −13-13?\newlineChoices:\newline(A){x∣x=−13}\{x|x = -13\}\newline(B){x∣x<−13}\{x|x < -13\}\newline(C){x∣x>−13}\{x|x > -13\}\newline(D){x∣x≤−13}\{x|x \leq -13\}
Get tutor helpright-arrow

Posted 5 months ago

Question
What interval does this inequality represent?\newline`x<-3`\newline[A](−3,∞)[A](-3,\infty)\newline[B](−3,∞)[B](-3,\infty)\newline[C](−∞,−3)[C](-\infty,-3)\newline[D](−∞,−3][D](-\infty,-3]
Get tutor helpright-arrow

Posted 9 months ago

Question
Which of the following expressions is equivalent to \newline106×3.7106 \times 3.7?\newlineChoose 11 answer:\newline(A) 106×37÷10106 \times 37 \div 10\newline(B) 106×37÷100106 \times 37 \div 100\newline(C) 106×37÷1,000106 \times 37 \div 1,000\newline(D) 106×37÷10,000106 \times 37 \div 10,000
Get tutor helpright-arrow

Posted 10 months ago

Question
What is the value of x6+y2 x^{6}+y^{2} when x=1 x=1 and y=9 y=9 ?
Get tutor helpright-arrow

Posted 5 months ago

Question
What is the value of y2−x2 y^{2}-x^{2} when x=5 x=5 and y=6 y=6 ?
Get tutor helpright-arrow

Posted 8 months ago

Question
What is the value of y2−x4 y^{2}-x^{4} when y=8 y=8 and x=2 x=2 ?
Get tutor helpright-arrow

Posted 3 months ago

Question
A physicist measures the energies of atoms A A and B B to be the positive values a a and b b respectively. He determines that the energy of atom B B is between one percent more than and one percent less than twice the energy of atom AA. Which of the following systems of inequalities best models the possible range of values for the energies of atoms AA and BB?\newlineChoose 11 answer:\newline(A) {a<2.02ba>1.98b \left\{\begin{array}{l}a<2.02 b \\ a>1.98 b\end{array}\right. \newline(B) {a<2b+0.02a>2b−0.02 \left\{\begin{array}{l}a<2 b+0.02 \\ a>2 b-0.02\end{array}\right. \newline(C) {b<2.02ab>1.98a \left\{\begin{array}{l}b<2.02 a \\ b>1.98 a\end{array}\right. \newline(D) {b<2a+0.02b>2a−0.02 \left\{\begin{array}{l}b<2 a+0.02 \\ b>2 a-0.02\end{array}\right.
Get tutor helpright-arrow

Posted 8 months ago

Question
If 2+2(8347−4783)=−2j 2+2(8347-4783)=-2 j , then what is the value of −j -j ?
Get tutor helpright-arrow

Posted 4 months ago

View all (111)

Related topics

Algebra - Order of OperationsAlgebra - Distributive Property`X` and `Y` AxesGeometry - Scalene TriangleCommon MultipleGeometry - Quadrant