Which set notation correctly expresses the solution set to the equation 2x – 8 = 10?

Answer 1

To solve the equation \(2x - 8 = 10\), we first isolate \(x\):

1. Add 8 to both sides: \[ 2x - 8 + 8 = 10 + 8 \] \[ 2x = 18 \]

2. Divide both sides by 2: \[ x = \frac{18}{2} = 9 \]

The solution to the equation is \(x = 9\).

In set notation, the solution set can be expressed as: \[ { 9 } \]

Thus, the correct set notation for the solution set to the equation \(2x - 8 = 10\) is \({ 9 }\).