# To Express: The inequalities in terms of the interval. ( − ∞ , 4 ] .

### Precalculus: Mathematics for Calcu...

6th Edition
Stewart + 5 others
Publisher: Cengage Learning
ISBN: 9780840068071

### Precalculus: Mathematics for Calcu...

6th Edition
Stewart + 5 others
Publisher: Cengage Learning
ISBN: 9780840068071

#### Solutions

Chapter 1, Problem 6RE
To determine

## To Express: The inequalities in terms of the interval. (−∞,4] .

Expert Solution

In this interval, (,4] , x is a member of family of real numbers such that x is a number of the interval {xR\x4} .

### Explanation of Solution

Given information:

The inequality (,4] .

Formula used:

The notation of number line shows the given interval (] shows that open and a closed interval.

Calculation:

It is provided that the notation (,4] ,shows that the real numbers are here starting form it means the real numbers are endless and ended to 4.

So the interval is , {xR\x4} .

This is the written statement of this notation and here x is a member of family of real numbers such that x is a number of the interval (,4] .

Also this equation is written as: {xR\x(,4]} .

The notation of these inequalities are here:

Thus, this inequality is an open and closed interval , it means it starts form any real number and ended to exactly at 4.

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