Six times a number is greater than 20 more than that number. What are the possible values of that number?
n less-than 4
n greater-than 4
n greater-than StartFraction 20 Over 7 EndFraction
n less-than StartFraction 20 Over 7 EndFraction

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Answer:

n greater-than 4

Step-by-step explanation:

Six times a number is greater than 20 more than that number as an equation would be: [tex]6n > 20 + n[/tex]

Let's solve the equation:

Subtract n from both sides:

[tex]6n > 20 + n\\6n-n > 20 +n -n[/tex]

[tex]5n > 20[/tex]

Simplify. Divide 5 on both sides.

[tex]\frac{5n}{5} >\frac{20}{5} \\n > 4[/tex]

We end up with n > 4.

Your answer should be B) N > 4.

Inequalities help us to compare two unequal expressions. The possible values of the number n in the given inequality is n>4.

What are inequalities?

Inequalities help us to compare two unequal expressions. Also, it helps us to compare the non-equal expressions so that an equation can be formed. It is mostly denoted by the symbol <, >, ≤, and ≥.

Let the unknown number be represented by n.

Now, the given statement in the form of an inequality can be written as,

6n > 20+n

Further, the possible values of that number can be found by simplifying the given inequality,

6n > 20+n

Subtract n from both sides of the inequality,

6n - n > 20 + n - n

5n > 20

n > 20/5

n > 4

Hence, the possible values of the number n in the given inequality is n>4.

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