Math Problem Statement

X<0 solving

Solution

The inequality X<0X < 0 is already in its simplest form and doesn't require further solving in the traditional sense. However, interpreting and understanding the inequality involves identifying the set of numbers that satisfy it.

Interpretation and Solution Set

  • Inequality: X<0X < 0
  • Solution Set: All real numbers that are less than zero.

Graphical Representation

On a number line, this solution would be represented by shading the portion of the line to the left of 0, excluding 0 itself. An open circle would be placed at 0 to indicate that X=0X = 0 is not included in the solution set.

Example Values

Here are some values that satisfy X<0X < 0:

  • X=3X = -3
  • X=0.5X = -0.5
  • X=100X = -100

These values are all less than zero, so they satisfy the inequality.

Would you like more details or have any questions?

Related Questions

  1. How do you solve the inequality 2X+3<52X + 3 < 5?
  2. What does X0X \leq 0 mean, and how is it different from X<0X < 0?
  3. How do you solve compound inequalities like 2<X<0-2 < X < 0?
  4. What happens to the inequality X<0X < 0 if you multiply both sides by 1-1?
  5. How do you graph the solution to X>0X > 0 on a number line?

Tip

When solving inequalities, always remember to flip the inequality sign when multiplying or dividing both sides by a negative number.

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Math Problem Analysis

Mathematical Concepts

Inequalities
Number Line Representation

Formulas

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Theorems

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Suitable Grade Level

Grades 7-9