Determine the solution set of −3x+7=10 or 3x−9=0 (1 point) Responses The solution set is null The solution set is null {−1} start set negative 1 end set {−1,3} start set negative 1 comma 3 end set {3}

Answer 1

To determine the solution set for the equation \(-3x + 7 = 10\) or \(3x - 9 = 0\), we can solve each equation separately.

1. Solve \(-3x + 7 = 10\): \[ -3x + 7 = 10 \] Subtract 7 from both sides: \[ -3x = 10 - 7 \] \[ -3x = 3 \] Now, divide by -3: \[ x = -1 \]

2. Solve \(3x - 9 = 0\): \[ 3x - 9 = 0 \] Add 9 to both sides: \[ 3x = 9 \] Now, divide by 3: \[ x = 3 \]

Now, we can combine the solutions from both equations. The solutions are \(-1\) and \(3\), so the solution set is: \[ {-1, 3} \]

Thus, the correct response is: \({-1, 3}\)