Math Problem Statement

x4\ge-4

Solution

The inequality given is:

x4x \geq -4

This means that xx must be greater than or equal to 4-4. In other words, xx can take any value that is either 4-4 or larger.

The solution in interval notation is:

x[4,)x \in [-4, \infty)

If you plot this on a number line, it would include all values from 4-4 to positive infinity, with a closed circle at 4-4 to indicate that 4-4 is included.

Would you like more details or have any questions about this?


Here are 5 related questions:

  1. What is the difference between x>4x > -4 and x4x \geq -4?
  2. How would you solve 2x+312x + 3 \geq -1?
  3. What does the interval notation for x>4x > -4 look like?
  4. Can you graph the inequality x4x \geq -4?
  5. How do you solve and graph compound inequalities?

Tip: In interval notation, use brackets [][ ] for "greater than or equal to" and parentheses ()( ) for "greater than" or "less than."

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Math Problem Analysis

Mathematical Concepts

Algebra
Inequalities
Interval Notation

Formulas

x ≥ -4

Theorems

Properties of Inequalities

Suitable Grade Level

Grades 6-8