Answered

Write a compound inequality that represents the following phrase.
all real numbers that are between -4 and 5, inclusive

Write a compound inequality that represents the phrase. Choose the correct answer below.
A:[tex]-4\leq n\ \textless \ 5[/tex]
B:[tex]-4\ \textless \ n\ \textless \ 5[/tex]
C:[tex]-4\ \textless \ n\leq 5[/tex]
D:[tex]-4\leq n\leq 5[/tex]



Answer :

The compound inequality that represents the set of real numbers that are between -4 and 5 inclusive is the option;

D: -4 ≤ n ≤ 5

How can the compound inequality be found?

A compound inequality comprises of a sentence that makes two inequality statements that are joined by either the word 'and' or 'or'.

Given that the inequality represents the set of all real numbers that are between -4 and 5, and -4 < 5, the required set of numbers is therefore of the form;

[tex] - 4 \: \leftrightarrow \: 5[/tex]

The expression of the required set of numbers as inequalities is therefore;

  • -4 ≤ n and n ≤ 5

The compound inequality is therefore;

D: -4 ≤ n ≤ 5

Learn more about finding the solutions of compound inequalities here:

https://brainly.com/question/234674

#SPJ1

Other Questions