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Solve: -1.5x + 2.25 > 15.75(1 point)

Responses

x > -9
x > -9

x < -9
x < -9

x > -23.625
x > -23.625

x < -23.625

1 answer

To solve the inequality \(-1.5x + 2.25 > 15.75\), we will first isolate \(x\):

  1. Subtract \(2.25\) from both sides:

    \[ -1.5x > 15.75 - 2.25 \] \[ -1.5x > 13.5 \]

  2. Divide both sides by \(-1.5\). Remember that when you divide or multiply by a negative number, you must reverse the inequality sign:

    \[ x < \frac{13.5}{-1.5} \] \[ x < -9 \]

So the solution to the inequality is \(x < -9\).

The correct response is:

x < -9