![UNIT 01 September
1. Express these intervals using set-builder notation. Represent them on the number line.
a) [ 𝟐𝟐, 𝟓𝟓) =
b) �– 𝟐𝟐, +∞� =
c) �– 𝟑𝟑, 𝟖𝟖� =
d) (– ∞, – 𝟔𝟔) =
2. Write the following sets of real numbers as intervals and represent them on the
number line.
a) Real numbers between 5 and 6, both included.
b) Real numbers greater than 7.
c) Real numbers less than or equal to -5.
3. Write in set notation and represent on the number line the following intervals:
(−𝟐𝟐, 𝟏𝟏𝟏𝟏); ( 𝟐𝟐, 𝟏𝟏𝟏𝟏]; [−𝟒𝟒, −𝟏𝟏];(−∞, −𝟐𝟐); [ 𝟔𝟔, ∞)
Axel Cotón Gutiérrez Mathematics 4º ESO Exercises 4.1.3.1](https://image.slidesharecdn.com/exercises4-161004174244/85/4-ESO-Academics-Unit-01-Exercises-1-3-1-320.jpg)
![UNIT 01 September
4. Write as intervals:
a) {𝐱𝐱 ∈ ℝ ∕ 𝐱𝐱 ≤ 𝟏𝟏𝟏𝟏}
b) {𝐱𝐱 ∈ ℝ −𝟐𝟐⁄ < 𝐱𝐱 ≤ 𝟑𝟑𝟑𝟑}
c) �𝐱𝐱 ∈ ℝ ∕ 𝐱𝐱 ≤ √𝟑𝟑�
5. Represent on the number line the intervals 𝑨𝑨 = (−𝟏𝟏, 𝟏𝟏𝟏𝟏] and 𝑩𝑩 = [ 𝟓𝟓, 𝟐𝟐𝟐𝟐). Find the
intervals 𝑨𝑨 ∩ 𝑩𝑩 and 𝑨𝑨 ∪ 𝑩𝑩.
6. Write two intervals which intersection is (−𝟐𝟐, 𝟐𝟐).
7. True or False:
𝟏𝟏 ∈ �𝟎𝟎,
𝟏𝟏
𝟑𝟑
�
𝟒𝟒
𝟗𝟗
∈ �−𝟏𝟏,
𝟏𝟏
𝟐𝟐
�
𝟏𝟏 + √𝟖𝟖 ∈ ( 𝟏𝟏, 𝟑𝟑] √𝟐𝟐
𝟐𝟐
∈ (−𝟏𝟏, 𝟏𝟏)
−𝟓𝟓
𝟒𝟒
∈ [−𝟐𝟐, 𝟏𝟏)
−𝟑𝟑
𝟐𝟐
∈ �
−𝟓𝟓
𝟒𝟒
, 𝟎𝟎�
Axel Cotón Gutiérrez Mathematics 4º ESO Exercises 4.1.3.2](data:image/gif;base64,R0lGODlhAQABAIAAAAAAAP///yH5BAEAAAAALAAAAAABAAEAAAIBRAA7)
Recommandé
Contenu connexe
Tendances
Tendances (18)
En vedette
En vedette (20)
Similaire à 4 ESO Academics - Unit 01 - Exercises 1.3.
Similaire à 4 ESO Academics - Unit 01 - Exercises 1.3. (20)
Plus de Gogely The Great
Plus de Gogely The Great (20)
Dernier
Dernier (20)
4 ESO Academics - Unit 01 - Exercises 1.3.
- 1. UNIT 01 September 1. Express these intervals using set-builder notation. Represent them on the number line. a) [ 𝟐𝟐, 𝟓𝟓) = b) �– 𝟐𝟐, +∞� = c) �– 𝟑𝟑, 𝟖𝟖� = d) (– ∞, – 𝟔𝟔) = 2. Write the following sets of real numbers as intervals and represent them on the number line. a) Real numbers between 5 and 6, both included. b) Real numbers greater than 7. c) Real numbers less than or equal to -5. 3. Write in set notation and represent on the number line the following intervals: (−𝟐𝟐, 𝟏𝟏𝟏𝟏); ( 𝟐𝟐, 𝟏𝟏𝟏𝟏]; [−𝟒𝟒, −𝟏𝟏];(−∞, −𝟐𝟐); [ 𝟔𝟔, ∞) Axel Cotón Gutiérrez Mathematics 4º ESO Exercises 4.1.3.1
- 2. UNIT 01 September 4. Write as intervals: a) {𝐱𝐱 ∈ ℝ ∕ 𝐱𝐱 ≤ 𝟏𝟏𝟏𝟏} b) {𝐱𝐱 ∈ ℝ −𝟐𝟐⁄ < 𝐱𝐱 ≤ 𝟑𝟑𝟑𝟑} c) �𝐱𝐱 ∈ ℝ ∕ 𝐱𝐱 ≤ √𝟑𝟑� 5. Represent on the number line the intervals 𝑨𝑨 = (−𝟏𝟏, 𝟏𝟏𝟏𝟏] and 𝑩𝑩 = [ 𝟓𝟓, 𝟐𝟐𝟐𝟐). Find the intervals 𝑨𝑨 ∩ 𝑩𝑩 and 𝑨𝑨 ∪ 𝑩𝑩. 6. Write two intervals which intersection is (−𝟐𝟐, 𝟐𝟐). 7. True or False: 𝟏𝟏 ∈ �𝟎𝟎, 𝟏𝟏 𝟑𝟑 � 𝟒𝟒 𝟗𝟗 ∈ �−𝟏𝟏, 𝟏𝟏 𝟐𝟐 � 𝟏𝟏 + √𝟖𝟖 ∈ ( 𝟏𝟏, 𝟑𝟑] √𝟐𝟐 𝟐𝟐 ∈ (−𝟏𝟏, 𝟏𝟏) −𝟓𝟓 𝟒𝟒 ∈ [−𝟐𝟐, 𝟏𝟏) −𝟑𝟑 𝟐𝟐 ∈ � −𝟓𝟓 𝟒𝟒 , 𝟎𝟎� Axel Cotón Gutiérrez Mathematics 4º ESO Exercises 4.1.3.2