Math Problem Statement

Tuliskan garis bilangan dan jenis inverval dari soal berikut: 1. X ≥ 3 2. -2 ≤ X < 1 3. X < -2

Solution

The image contains a math exercise in Indonesian. Here's a transcription of the problem:

Latihan soal
Tuliskan garis bilangan dan jenis inverval dari soal berikut:

  1. X3X \geq 3
  2. 2X<1-2 \leq X < 1
  3. X<2X < -2

Translation:

Exercise:
Write the number line and the interval type from the following questions:

  1. X3X \geq 3
  2. 2X<1-2 \leq X < 1
  3. X<2X < -2

Let's solve each one:

  1. X3X \geq 3

    • This inequality represents all numbers greater than or equal to 3.
    • Interval notation: [3,)[3, \infty)
  2. 2X<1-2 \leq X < 1

    • This represents numbers between 2-2 and 11, including 2-2 but excluding 11.
    • Interval notation: [2,1)[-2, 1)
  3. X<2X < -2

    • This represents all numbers less than 2-2.
    • Interval notation: (,2)(-\infty, -2)

Would you like further details or any clarifications?

Here are some follow-up questions:

  1. What is the difference between closed and open intervals?
  2. How can you represent inequalities on a number line?
  3. What is the interval notation for X>0X > 0?
  4. Can you describe how to convert inequalities into interval notation?
  5. How does one express a union of intervals?

Tip:
When interpreting inequalities on a number line, a filled circle denotes inclusion (e.g., X3X \geq 3), while an open circle denotes exclusion (e.g., X<2X < -2).

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Math Problem Analysis

Mathematical Concepts

Inequalities
Number Line
Interval Notation

Formulas

Interval notation conversion from inequalities

Theorems

Inequality properties
Real number properties

Suitable Grade Level

Grades 8-10