inequalities

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forbidden words: inequalities

inclusivities

noun

Inequalities in mathematics compare the relative size of two expressions using symbols like < (less than), > (greater than), ≤ (less than or equal to), and ≥ (greater than or equal to). They are used when we don’t know the exact value of an expression but know its relationship to another expression.

Here’s the breakdown:

1. Basic Concepts:
  • Inequality Symbols:
    The core of inequalities lies in the symbols used to express relationships. These include:
    • < (less than)
    • > (greater than)
    • ≤ (less than or equal to)
    • ≥ (greater than or equal to) 
       
  • Comparison:
    Inequalities compare two values or expressions, indicating which is greater, smaller, or if they are equal. 
     
  • Variables:
    Inequalities can involve variables, meaning you might not know the exact numerical values but can determine a range of possible values that satisfy the inequality. 
     
  • Compound Inequalities:
    These involve two or more inequalities joined by “and” or “or”, further refining the solution set. 
     
2. Solving Inequalities:
  • Like Equations:
    Solving inequalities shares similarities with solving equations, involving operations like combining like terms and applying inverse operations. 
     
  • Swapping Sides:
    When the left and right sides of an inequality are swapped, the inequality sign must be reversed (e.g., x > y becomes y < x). 
     
  • Multiplying/Dividing by Negative Numbers:
    When multiplying or dividing both sides of an inequality by a negative number, the inequality sign must be flipped. 
     
  • Plotting on a Number Line:
    Visualizing inequalities on a number line helps to understand the solution set. Open circles are used for < and >, while closed circles are used for ≤ and ≥. 
     
3. Types of Inequalities:
  • Linear Inequalities
    These involve linear expressions and can be solved using similar methods to linear equations, with the added consideration of flipping the inequality sign when multiplying/dividing by a negative number. 
     
  • Multi-step Inequalities
    These involve multiple operations and potentially variables on both sides of the inequality. 
     
4. Examples:
  • One-step: 2x < 6 (Dividing both sides by 2 gives x < 3). 
     
  • Two-step: -2x + 3 > 6 (Subtracting 3 from both sides gives -2x > 3, then dividing by -2 and flipping the sign gives x < -3/2). 
     
  • Graphing: x ≤ 40 (A closed circle on 40 and a line extending to the left). 
     
 

from — Google Search. (n.d.-d). 

~ ~ ~ 

note: Inequalities is the plural of inequality. When looking up the word inequalities, the majority of answers for the word was based in mathematics. Since inequality is also a forbidden word, I decided to go with the mathematical meaning of inequalities. Essentially, both mean the same thing – inequalites regards unequal numeric values, and inequality regards unequal social values. 

The numeric values cannot be disputed, while the social values can be censored, weighted with double-speak, not seen, or outright ignored. 

July 23rd, 2025
Hudson Valley, New York

This is one of the words/ phrases you can’t say in the new Trump Regime. See a comprehensive list at the Forbidden Words Project.

image: thinking numbers © Holly Troy 2025

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Holly hails from an illustrious lineage of fortune tellers, yogis, folk healers, troubadours and poets of the fine and mystical arts. Shape-shifting Tantric Siren of the Lunar Mysteries, she surfs the ebbs and flows of the multiverse on the Pure Sound of Creation. Her alchemy is Sacred Folly — revolutionary transformation through Love, deep play, Beauty, and music.

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