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Which set notation correctly expresses the solution set to the equation

5x + 7 = 22?

1 answer

To solve the equation \(5x + 7 = 22\), we first isolate \(x\):

  1. Subtract 7 from both sides: \[ 5x + 7 - 7 = 22 - 7 \] \[ 5x = 15 \]

  2. Next, divide both sides by 5: \[ x = \frac{15}{5} \] \[ x = 3 \]

The solution to the equation is \(x = 3\).

In set notation, the solution set can be expressed as: \[ {3} \]

So the correct set notation that represents the solution set to the equation \(5x + 7 = 22\) is \({3}\).