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Write an inequality from the statement:

"The sum of a number and 9 is less than 100."

Select one:
A. [tex]n + 9 \ \textless \ 100[/tex]
B. [tex]n - 9 \ \textgreater \ 100[/tex]
C. [tex]9n \ \textgreater \ 100[/tex]
D. [tex]n \ \textless \ 9 + 100[/tex]

Sagot :

GinnyAnsweridn
To write an inequality from the statement "The sum of a number and 9 is less than 100," we need to translate the words into a mathematical expression.

1. Let's denote the unknown number as [tex]\( n \)[/tex].

2. The phrase "The sum of a number and 9" translates to [tex]\( n + 9 \)[/tex].

3. The phrase "is less than" translates to the inequality symbol [tex]\( < \)[/tex].

4. The number 100 remains 100 in the inequality.

Combining these elements, the statement "The sum of a number and 9 is less than 100" translates to the inequality:

[tex]\[ n + 9 < 100 \][/tex]

Now, let's look at the given options and select the correct one:

a. [tex]\( n + 9 < 100 \)[/tex]
b. [tex]\( n - 9 > 100 \)[/tex]
c. [tex]\( 9n > 100 \)[/tex]
d. [tex]\( n < 9 + 100 \)[/tex]

The correct inequality is:

[tex]\[ n + 9 < 100 \][/tex]

So, the correct answer is:

a. [tex]\( n + 9 < 100 \)[/tex]
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