x > 1
In mathematics, the inequality statement “x > 1” means that the value of x is greater than 1
In mathematics, the inequality statement “x > 1” means that the value of x is greater than 1. Let’s break this down:
– The symbol “>” is read as “is greater than.” So, “x > 1” is read as “x is greater than 1.”
– The value of x can be any real number that is larger than 1. For example, x can be 2, 3, 4, 5, and so on.
To understand this inequality visually, you can plot the values of x on a number line. You mark 1 on the number line and then shade the region to the right of 1 to indicate the range of x values that satisfy the inequality.
In interval notation, the solution to the inequality “x > 1” can be represented as (1, ∞). The bracket “(” indicates that 1 is not included in the set of solutions, and the infinity symbol “∞” represents all the values greater than 1.
To solve equations or inequalities that involve x, you can perform similar operations on both sides of the inequality sign to maintain the balance and truth of the statement. However, if you multiply or divide by a negative number, the direction of the inequality sign must be switched.
For example, multiplying both sides of the inequality “2x > 4” by 2, you get:
2(2x) > 2(4)
4x > 8
The inequality is still true, but the coefficient of x has changed from 2 to 4.
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