Which inequality correctly orders the numbers -(9)/(3),-(3)/(9), and -1 ? Choose 1 answer: (A) -1 > -(3)/(9) > -(9)/(3) (B) -(3)/(9) > -1 > -(9)/(3) (C) -1 > -(9)/(3) > -(3)/(9) (D) -(9)/(3) > -1 > -(3)/(9)

Simplify fractions: First, simplify each of the fractions to understand their values better. The fraction -(9)/(3) simplifies to -3 because 9 divided by 3 is 3, and the negative sign remains. The fraction -(3)/(9) simplifies to -1/3 because 3 divided by 9 is 1/3, and the negative sign remains.Compare to -1: Next, compare the simplified values to -1. The number -1 is the same as -3/3 when expressed as a fraction with a denominator of 3. Now we have -3 (which is -9/3), -1/3, and -3/3 (which is -1). We can see that -3 is less than -1, and -1 is less than -1/3 because as the denominator gets larger, the value of the fraction gets closer to zero.Order from greatest to least: Now, order the numbers from greatest to least. Since -1/3 is the closest to zero, it is the greatest of the three. Next is -1, and finally -3 is the least. Therefore, the correct order is -1/3 > -1 > -3.Match to answer choices: Match the ordered numbers to the answer choices. The correct order we found is -1/3 > -1 > -3, which corresponds to answer choice (B) -(3)/(9) > -1 > -(9)/(3).

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Which inequality correctly orders the numbers
-(9)/(3),-(3)/(9), and -1 ?
Choose 1 answer:
(A)
-1 > -(3)/(9) > -(9)/(3)
(B)
-(3)/(9) > -1 > -(9)/(3)
(C)
-1 > -(9)/(3) > -(3)/(9)
(D)
-(9)/(3) > -1 > -(3)/(9)

Which inequality correctly orders the numbers $-\frac{9}{3},-\frac{3}{9}$ , and $-1$ ? $\newline$ Choose $1$ answer: $\newline$ (A) -1>-\frac{3}{9}>-\frac{9}{3} $\newline$ (B) -\frac{3}{9}>-1>-\frac{9}{3} $\newline$ (C) -1>-\frac{9}{3}>-\frac{3}{9} $\newline$ (D) -\frac{9}{3}>-1>-\frac{3}{9}

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Algebra 1

Does (x, y) satisfy the inequality?

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Q. Which inequality correctly orders the numbers

-\frac{9}{3},-\frac{3}{9}

, and

-1

\newline

Choose

1

answer:

\newline

(A)

-1>-\frac{3}{9}>-\frac{9}{3}

\newline

(B)

-\frac{3}{9}>-1>-\frac{9}{3}

\newline

(C)

-1>-\frac{9}{3}>-\frac{3}{9}

\newline

(D)

-\frac{9}{3}>-1>-\frac{3}{9}

Simplify fractions: First, simplify each of the fractions to understand their values better. The fraction $-\frac{9}{3}$ simplifies to $-3$ because $9$ divided by $3$ is $3$ , and the negative sign remains. The fraction $-\frac{3}{9}$ simplifies to $-\frac{1}{3}$ because $3$ divided by $9$ is $\frac{1}{3}$ , and the negative sign remains.
Compare to $-1$ : Next, compare the simplified values to $-1$ . The number $-1$ is the same as $-\frac{3}{3}$ when expressed as a fraction with a denominator of $3$ . Now we have $-3$ (which is $-\frac{9}{3}$ ), $-\frac{1}{3}$ , and $-\frac{3}{3}$ (which is $-1$ ). We can see that $-3$ is less than $-1$ , and $-1$ is less than $-\frac{1}{3}$ because as the denominator gets larger, the value of the fraction gets closer to zero.
Order from greatest to least: Now, order the numbers from greatest to least. Since $-\frac{1}{3}$ is the closest to zero, it is the greatest of the three. Next is $-1$ , and finally $-3$ is the least. Therefore, the correct order is -\frac{1}{3} > -1 > -3.
Match to answer choices: Match the ordered numbers to the answer choices. The correct order we found is -\frac{1}{3} > -1 > -3, which corresponds to answer choice (B) -\frac{3}{9} > -1 > -\frac{9}{3}.