Question: Solve the inequality 6 - 3x ≥ 0. What is the solution?
Options:
x ≤ 2
x ≥ 2
x < 2
x > 2
Correct Answer: x ≥ 2
Solution:
6 - 3x ≥ 0 => -3x ≥ -6 => x ≤ 2.
Solve the inequality 6 - 3x ≥ 0. What is the solution?
Practice Questions
Q1
Solve the inequality 6 - 3x ≥ 0. What is the solution?
x ≤ 2
x ≥ 2
x < 2
x > 2
Questions & Step-by-Step Solutions
Solve the inequality 6 - 3x ≥ 0. What is the solution?
Correct Answer: x ≤ 2
Step 1: Start with the inequality: 6 - 3x ≥ 0.
Step 2: To isolate the term with x, subtract 6 from both sides: 6 - 3x - 6 ≥ 0 - 6.
Step 3: This simplifies to: -3x ≥ -6.
Step 4: Now, divide both sides by -3. Remember, when you divide by a negative number, you must flip the inequality sign: -3x / -3 ≤ -6 / -3.
Step 5: This simplifies to: x ≤ 2.
Inequalities – Understanding how to manipulate and solve inequalities, including reversing the inequality sign when multiplying or dividing by a negative number.
Algebraic Manipulation – Skills in rearranging equations and isolating variables to find solutions.
Soulshift Feedback×
On a scale of 0–10, how likely are you to recommend
The Soulshift Academy?
