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. {−1,3} left brace negative 1 comma 3 right brace {−1} left brace negative 1 right brace {3}

Answer 1

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

1. For \(-3x + 7 = 10\): \[ -3x + 7 = 10 \] Subtract 7 from both sides: \[ -3x = 3 \] Divide both sides by -3: \[ x = -1 \]

2. For \(3x - 9 = 0\): \[ 3x - 9 = 0 \] Add 9 to both sides: \[ 3x = 9 \] Divide both sides by 3: \[ x = 3 \]

Now we combine the solutions from both equations. The solutions are \(x = -1\) and \(x = 3\).

Therefore, the solution set is \({-1, 3}\).

The correct response is: \({-1, 3}\) (or in mathematical notation, {−1, 3}).