Question

What is the difference between how we write the domain of an inequality vs how we write the range of an inequality?

Answer 1

The domain of an inequality is written using interval or set notation, while the range is written using set builder notation.

Step-by-step explanation:

When writing the domain of an inequality, we use the notation of interval notation or set notation. Interval notation uses square brackets or parentheses to indicate whether the endpoints are included or excluded. For example, if the domain of an inequality is x > 3, we would write it as (3, ∞) in interval notation. Set notation would be written as x .

On the other hand, when writing the range of an inequality, we use set builder notation. This notation indicates the set of all possible values that satisfy the inequality. For example, if the range of an inequality is y ≤ 5, we would write it as y ≤ 5.

Answer 2

The domain of an inequality is the set of all values that can be inputted into the function. That is, the set of all values that define the function.

The range of a function is the set of all values that are a function can take.

To indicate the domain of a function, we write:

`\left\lbrace x\right|aThis means that <strong>x takes all the values that are found between a and b.</strong><p>We can also write:</p>[tex]\left\lbrace x\right|a\leq x\leq b\}`

This indicates that x takes all values from a to b.

The range of a function is however written as:

`a\text{ < x < b}`

This indicates that the value of x is found to be between a and b.

It can also be written as:

`a\text{ }\leq\text{ x }\leq\text{ b}`

This indicates that the value of x is found to be ranging from a to b.

NOTE: Other inquality symbols can also be used