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-5(x+2)>-45

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To solve the inequality \(-5(x + 2) > -45\), follow these steps:

  1. Distribute the \(-5\) on the left side:

    \[ -5x - 10 > -45 \]

  2. Add \(10\) to both sides to isolate the term with \(x\):

    \[ -5x > -45 + 10 \] \[ -5x > -35 \]

  3. Divide both sides by \(-5\). Remember that when you divide or multiply both sides of an inequality by a negative number, you must reverse the inequality sign:

    \[ x < \frac{-35}{-5} \] \[ x < 7 \]

So the solution to the inequality is:

\[ x < 7 \]