$$ x=3 y-4 $$ If $$ x=3 $$, which of the following statements is not true? $$ y2 $$

Question

$$ x=3 y-4 $$ If $$ x=3 $$, which of the following statements is not true? $$ y>2 $$

UpStudy AI · Accepted Answer

To determine which statement is not true, we first need to substitute $$ x = 3 $$ into the equation $$ x = 3y - 4 $$ and solve for $$ y $$.

1. Substitute $$ x = 3 $$ into the equation:
   $$
   3 = 3y - 4
   $$

2. Add 4 to both sides:
   $$
   3 + 4 = 3y
   $$
   $$
   7 = 3y
   $$

3. Divide both sides by 3 to solve for $$ y $$:
   $$
   y = \frac{7}{3}
   $$

Now, we need to evaluate the statement $$ y > 2 $$.

4. Calculate $$ \frac{7}{3} $$:
   $$
   \frac{7}{3} \approx 2.33
   $$

Since $$ 2.33 > 2 $$, the statement $$ y > 2 $$ is true.

Thus, the statement that is not true is that $$ y > 2 $$ is false.

In conclusion, the statement $$ y > 2 $$ is true, so there is no statement provided that is not true based on the given conditions.
When $$ x = 3 $$, $$ y = \frac{7}{3} $$, which is approximately 2.33. Since 2.33 is greater than 2, the statement $$ y > 2 $$ is true. Therefore, there is no statement provided that is not true based on the given conditions.

\( x=3 y-4 \) If \( x=3 \), which of the following statements is not true? \( y>2 \)

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