Subtract 6 from both sides: -3x ≤ -6. Then divide by -3 (reverse the inequality): x ≥ 2.
Solve the inequality 6 - 3x ≤ 0.
Practice Questions
Q1
Solve the inequality 6 - 3x ≤ 0.
x ≥ 2
x < 2
x > 2
x ≤ 2
Questions & Step-by-Step Solutions
Solve the inequality 6 - 3x ≤ 0.
Correct Answer: x ≥ 2
Step 1: Start with the inequality 6 - 3x ≤ 0.
Step 2: Subtract 6 from both sides to isolate the term with x. This gives you -3x ≤ -6.
Step 3: Now, divide both sides by -3. Remember, when you divide by a negative number, you must reverse the inequality sign. So, -3x ÷ -3 becomes x, and -6 ÷ -3 becomes 2. This gives you x ≥ 2.
Inequalities – Understanding how to manipulate inequalities, including reversing the inequality sign when dividing by a negative number.
Algebraic Manipulation – Skills in performing operations such as addition, subtraction, multiplication, and division on both sides of an inequality.
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