Solve for x: 3(x – 1) ≤ 2 (x – 3)
Question 1 Report
Solve for x: 3(x – 1) ≤ 2 (x – 3)
Answer Details
To solve the equation 3(x – 1) ≤ 2(x – 3), we need to find the range of values for x that satisfy the inequality.
Let's simplify the inequality step by step:
1. Distribute the multiplication: 3x - 3 ≤ 2x - 6
2. Combine like terms by subtracting 2x from both sides: 3x - 2x - 3 ≤ -6
3. Simplify further by combining like terms on the left side: x - 3 ≤ -6
4. Add 3 to both sides of the inequality to isolate x: x - 3 + 3 ≤ -6 + 3 x ≤ -3
Therefore, the solution to the inequality 3(x – 1) ≤ 2(x – 3) is x ≤ -3. This means that any value of x that is less than or equal to -3 will satisfy the inequality.
So, the correct option is x ≤ -3.
Let's simplify the inequality step by step:
1. Distribute the multiplication: 3x - 3 ≤ 2x - 6
2. Combine like terms by subtracting 2x from both sides: 3x - 2x - 3 ≤ -6
3. Simplify further by combining like terms on the left side: x - 3 ≤ -6
4. Add 3 to both sides of the inequality to isolate x: x - 3 + 3 ≤ -6 + 3 x ≤ -3
Therefore, the solution to the inequality 3(x – 1) ≤ 2(x – 3) is x ≤ -3. This means that any value of x that is less than or equal to -3 will satisfy the inequality.
So, the correct option is x ≤ -3.
Download The App On Google Playstore
Everything you need to excel in your exams
Personalized AI Learning Chat Assistant
200,000+ Exam Questions Across IGCSE, JAMB, WAEC & NECO
Over 3,900 Lesson Notes
Offline Support - Learn Anytime, Anywhere
Green Bridge Timetable
Literature Summaries & Potential Questions
Track Your Performance & Progress
In-depth Explanations for Comprehensive Learning