x > 4
In mathematics, the symbol “>” denotes the “greater than” symbol
In mathematics, the symbol “>” denotes the “greater than” symbol. When we have an inequality statement such as “x > 4,” it means that the value of x is greater than 4.
To understand this inequality visually, we can represent it on a number line. We place a closed circle or a solid dot at 4 and draw an arrow pointing towards the right. This indicates that any value of x to the right of 4 is greater than 4. Values such as 5, 6, 7, and so on are all solutions to the inequality.
In interval notation, we would represent the solution set as (4, +∞), where the parentheses indicate that 4 is not included and the “+” sign represents all values greater than 4.
It’s important to note that this inequality represents an infinite set of values, as there is no upper bound. Therefore, any value greater than 4, no matter how large, satisfies this inequality.
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