Welcome to Westonci.ca, your go-to destination for finding answers to all your questions. Join our expert community today! Explore comprehensive solutions to your questions from a wide range of professionals on our user-friendly platform. Get detailed and accurate answers to your questions from a dedicated community of experts on our Q&A platform.
Sagot :
Sure! Let's solve the inequality step by step:
Given inequality:
[tex]\[ \frac{1}{3} x < -2 \][/tex]
1. Isolate the Variable:
- To solve for [tex]\( x \)[/tex], we need to isolate [tex]\( x \)[/tex]. Since [tex]\( x \)[/tex] is currently multiplied by [tex]\(\frac{1}{3}\)[/tex], we can eliminate the fraction by multiplying both sides of the inequality by the reciprocal of [tex]\(\frac{1}{3}\)[/tex], which is 3.
2. Multiply Both Sides by 3:
- Multiplying both sides by 3, we get:
[tex]\[ \frac{1}{3} x \cdot 3 < -2 \cdot 3 \][/tex]
3. Simplify:
- Simplify the left-hand side and the right-hand side of the inequality:
[tex]\[ x < -6 \][/tex]
Therefore, the solution to the inequality [tex]\(\frac{1}{3} x < -2\)[/tex] is:
[tex]\[ x < -6 \][/tex]
This means that [tex]\( x \)[/tex] must be any number less than [tex]\(-6\)[/tex].
Given inequality:
[tex]\[ \frac{1}{3} x < -2 \][/tex]
1. Isolate the Variable:
- To solve for [tex]\( x \)[/tex], we need to isolate [tex]\( x \)[/tex]. Since [tex]\( x \)[/tex] is currently multiplied by [tex]\(\frac{1}{3}\)[/tex], we can eliminate the fraction by multiplying both sides of the inequality by the reciprocal of [tex]\(\frac{1}{3}\)[/tex], which is 3.
2. Multiply Both Sides by 3:
- Multiplying both sides by 3, we get:
[tex]\[ \frac{1}{3} x \cdot 3 < -2 \cdot 3 \][/tex]
3. Simplify:
- Simplify the left-hand side and the right-hand side of the inequality:
[tex]\[ x < -6 \][/tex]
Therefore, the solution to the inequality [tex]\(\frac{1}{3} x < -2\)[/tex] is:
[tex]\[ x < -6 \][/tex]
This means that [tex]\( x \)[/tex] must be any number less than [tex]\(-6\)[/tex].
We appreciate your visit. Hopefully, the answers you found were beneficial. Don't hesitate to come back for more information. Your visit means a lot to us. Don't hesitate to return for more reliable answers to any questions you may have. Stay curious and keep coming back to Westonci.ca for answers to all your burning questions.