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Find a description that this equation represents. Identify the numbers 1, 2, 3, 4, and 5 as solutions to the equation:

\[ 4x - 11 = 9 \]

Which of these descriptions does the given equation represent? Select all that apply.

A. Eleven less than four times a number is 9.
B. Four more than eleven times a number is 9.
C. If you add to four times a number, you get 9.
D. If you subtract four from eleven times a number, you get 9.

Answer :

Based on the provided equation, the solution is 5. The appropriate description of the equation is eleven less than four times a number is 9. (Option B)

In mathematics, an equation expresses the equality of two expressions, by connecting them with the equals sign =. In order to determine the solution of the equation 4x - 11 = 9, the variable x is isolated at one end of the equation and all other constants on the other side. Hence,

4x - 11 = 9

Add 11 to both sides

4x - 11 + 11 = 9 + 11

4x = 20

Divide both sides by 4

4x/4 = 20/4

x = 5

Hence, from the numbers 1, 2, 3, 4, and 5, the solution of the equation is 5.

As x is a variable, the description the given equation represents is that when eleven is subtracted from four times a number x, the result is nine.

Note: The question is incomplete. The complete question probably is: For the given equation 4x - 11 = 9, which of the numbers 1, 2, 3, 4, and 5, are solutions to the equation? Which of these descriptions does the given equation represent? A. If you subtract eleven times a number from four, you get 9. B. Eleven less than four times a number is 9. C. Four more than eleven times a number is 9. D. If you add to four times a number, you get 9. E. If you subtract four from eleven times a number, vou get 9.

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