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Question

Solve: −5x−10<15
−
5
𝑥
−
10
<
15

(1 point)

Answer 1

To solve the inequality \(-5x - 10 < 15\), we'll follow these steps:

1. Add 10 to both sides of the inequality:

   \(-5x - 10 + 10 < 15 + 10\)

   This simplifies to:

   \(-5x < 25\)

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

   \(\frac{-5x}{-5} > \frac{25}{-5}\)

   This simplifies to:

   \(x > -5\)

So the solution to the inequality is \(x > -5\).