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Solve −3(x+3)>−30

x(</>) (-13/-7/7/13)

1 answer

To solve the inequality \(-3(x + 3) > -30\), follow these steps:

  1. Distribute the \(-3\) on the left side: \[ -3x - 9 > -30 \]

  2. Add \(9\) to both sides: \[ -3x > -21 \]

  3. Divide both sides by \(-3\). Remember that when you divide or multiply both sides of an inequality by a negative number, you must reverse the inequality sign: \[ x < 7 \]

Now we compare \(x\) with the given options: \(-13, -7, 7, 13\).

  • \(-13 < 7\) (True)
  • \(-7 < 7\) (True)
  • \(7 < 7\) (False)
  • \(13 < 7\) (False)

The solutions are \(-13\) and \(-7\).

So, the answer is: \[ x < 7 \] and possible solutions from the options are \(-13\) and \(-7\).