You cannot list them: unless the inequality is trivial, since there are infinitely many real numbers in any range. You need to
And then write the answer as lower bound [< or <=] x [> or >=] upper bound, where x represents you variable.
x ≥ 6
x ≥ -4
the domain is all real numbers and the range is all real numbers the domain is all real numbers and the range is all real numbers
The set of all numbers that make an inequality true is known as the solution set. It consists of all the values of the variable that satisfy the given inequality. This set can be expressed using interval notation or set builder notation, depending on the context of the problem. The solution set is crucial in determining the range of values that satisfy the given conditions.
60000000000
Since it is an inequality, there is no way to solve for x. It equals all real numbers.
x ≥ 6
Yes. Consider x2 ≥ 0
x ≥ -4
The inequality ( x - 2 > 0 ) can be solved by adding 2 to both sides, resulting in ( x > 2 ). Thus, the solutions to the inequality are all real numbers greater than 2. In interval notation, this is expressed as ( (2, \infty) ).
well u do stuff to figure it out
A solution with all real numbers indicates that the equation or inequality has no restrictions on its values, meaning any real number can satisfy it. Graphically, this is often represented as a horizontal line on a number line or as a shaded region extending infinitely in both directions. For example, the equation (x = x) or the inequality (x > -\infty) includes every possible real number as a solution. Essentially, it signifies that the solution set is the entire continuum of real numbers.
The set {x ∈ R ; x ≠ -2} is the set of all those real numbers, except x = -2.
Not unless you have an infinite amount of time as there are an infinite amount of numbers that are solutions to an inequality.
All real numbers can be represented on the number line, which includes rational numbers like integers and fractions, as well as irrational numbers such as the square root of 2 and π. In set notation, the set of all real numbers is denoted as ℝ. Real numbers can also be expressed in interval notation, for example, as (-∞, ∞) to indicate that it includes all numbers from negative infinity to positive infinity.
No, not all numbers are real numbers. Real numbers include all rational and irrational numbers, but there are also complex numbers that are not considered real numbers.
To write the domain of a function as an inequality, identify the values of the variable for which the function is defined. For instance, if a function is defined for all real numbers greater than or equal to 2, you would express the domain as ( x \geq 2 ). If the function is defined between two values, say 1 and 4, the domain can be written as ( 1 \leq x \leq 4 ). Always ensure that the inequality accurately reflects the constraints imposed by the function.