Math Problem Statement

Which of the following is the equivalent inequality notation of  [-3, 5)

(1 Point)

-3 < x < 5

-3 ≤ x < 5

-3 < x ≤ 5

-3 ≤ x ≤ 5

Solution

The interval [3,5)[-3, 5) includes all values from 3-3 to 55, where 3-3 is included (closed bracket) and 55 is not included (open bracket).

This corresponds to the inequality:

3x<5-3 \leq x < 5

So, the correct answer is:

3x<5\boxed{-3 \leq x < 5}

Would you like more details, or do you have any other questions?

Here are 5 related questions:

  1. How do you graph the interval [3,5)[-3, 5) on a number line?
  2. What does the inequality 3<x5-3 < x \leq 5 represent?
  3. How do closed and open brackets affect the interpretation of an interval?
  4. Can an interval have both endpoints as open brackets? What does it mean?
  5. How can you solve an inequality involving absolute values?

Tip: Always pay attention to whether an interval uses open or closed brackets. They indicate whether the endpoint values are included or excluded.

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Math Problem Analysis

Mathematical Concepts

Inequalities
Intervals
Number Line Representation

Formulas

Inequality notation for intervals

Theorems

Properties of intervals (open and closed)

Suitable Grade Level

Grades 6-8