Mrs.smith wrote “eight less than three times a number is greater than fifteen” on the board. If x represents the number, which inequality is a correct translation of this statement?

Inequality equation is the equation which is compare the two variables or the number with the greater than, less than or the other inequality signs. the inequality equation which is the correct translation of the given statement is,

[tex](3x-8)>15[/tex]

Given information-

Mrs.smith wrote “eight less than three times a number is greater than fifteen” on the board.

The number is [tex]x[/tex].

Inequality Equation

Inequality equation is the equation which is compare the two variables or the number with the greater than, less than or the other inequality signs.

As the number is three times which means it has to be multiplied by the 3. Thus the number is,

[tex]=3x[/tex]

Now this number is 8 less then means we need to subtract the 8 from the above number. Thus,

[tex]=3x-8[/tex]

As the above is greater than the number fifteen. This can be represent using the greater than sign (>). Thus the equation is,

[tex](3x-8)>15[/tex]

Hence the inequality equation which is the correct translation of the given statement is,

[tex](3x-8)>15[/tex]

Learn more about the inequality equation here;

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