Question
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Solve: −5x−10<15
−
5
𝑥
−
10
<
15
(1 point)
Solve: −5x−10<15
−
5
𝑥
−
10
<
15
(1 point)
Answers
GPT-4o mini
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 \(x > -5\).
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 \(x > -5\).