Question

what is the solution set for 6x- 9=15 given the replacement set 0,1,2,3,4 A x=4, B x=3, C x=2, x=1, D x=0

Answer 1

To find the solution set for the equation \( 6x - 9 = 15 \), we first need to solve for \( x \).

1. Start with the equation:
\[
6x - 9 = 15
\]

2. Add 9 to both sides:
\[
6x = 15 + 9
\]
\[
6x = 24
\]

3. Divide both sides by 6:
\[
x = \frac{24}{6} = 4
\]

Now, since the replacement set is \{0, 1, 2, 3, 4\}, we need to see if \( x = 4 \) is included in this set.

The solution to the equation is:
- \( x = 4 \)

From the options given:
- A: \( x = 4 \)
- B: \( x = 3 \)
- C: \( x = 2 \)
- D: \( x = 1 \)
- E: \( x = 0 \)

The correct solution that matches the calculated value is:
- A: \( x = 4 \)

Thus, the solution set for the given equation, with respect to the replacement set, is \( \{ 4 \} \).