Math Problem Statement

Complete cada sentença com o símbolo C, ∈, ou ⊆. Representa na reta numérica os seguintes subconjuntos de R.

Solution

This image contains mathematical problems that require filling in set symbols and representing subsets of real numbers on the number line. Let me break down the questions:

Question 1: Fill in the correct symbols for the set relationships:

  • a) 7.33 ___ Q
  • b) N ___ Q
  • c) 0.5 ___ Q
  • d) 9/4 ___ N
  • e) ___ Z
  • f) Q ___ Z
  • g) 3.52 ___ Q
  • h) −π ___ R
  • i) 5.77 ___ R
  • j) √−16 ___ R
  • k) √9 ___ R

Question 2: Represent on the number line the following subsets of R:

  • a) A = {x ∈ R | |x| > 1/2}
  • b) B = {x ∈ R | 3 < x < 6}
  • c) C = {x ∈ R | 0 ≤ x < 4 or 2 ≤ x < 6}
  • d) D = {x ∈ R | −2 ≤ x ≤ 6}
  • e) E = {x ∈ R | x < 5 or x > 5}
  • f) F = {x ∈ R | x < 3 or x = −2}
  • g) G = {x ∈ R | 4x + 8 > 0 or 16 − 8x < 0}

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Math Problem Analysis

Mathematical Concepts

Set Theory
Real Numbers
Number Line Representation

Formulas

N/A

Theorems

Subset Symbol ⊆
Set Membership ∈

Suitable Grade Level

Grades 9-11