Understanding the Inequality x > 0 and Its Representation on a Number Line

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In mathematics, the inequality “x > 0” represents a condition where the variable “x” is greater than zero

In mathematics, the inequality “x > 0” represents a condition where the variable “x” is greater than zero.

To fully understand this inequality, we need to consider the number line. On a number line, zero is represented by a point, and as you move to the right, the numbers increase. So, any value of “x” greater than zero would lie to the right of zero on the number line.

In simpler terms, the inequality “x > 0” means that “x” can take on any positive value, including all the positive integers (1, 2, 3, …), all positive fractions (1/2, 3/4, …), and even positive irrational numbers (such as √2, π, e).

If you were to graph this inequality on a coordinate plane, you would shade the region to the right of the y-axis, excluding zero. This indicates all the possible values that “x” can take while satisfying the condition “x > 0”.

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The Relationship between Input and Output in a Mathematical Function | Exploring the Expression y = (±√x – 1)/4

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