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Find the solution set for the inequality 6 - 3x ≤ 0.
Find the solution set for the inequality 6 - 3x ≤ 0.
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Practice Questions
1 question
Q1
Find the solution set for the inequality 6 - 3x ≤ 0.
x ≥ 2
x < 2
x ≤ 2
x > 2
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6 - 3x ≤ 0 => -3x ≤ -6 => x ≥ 2.
Questions & Step-by-step Solutions
1 item
Q
Q: Find the solution set for the inequality 6 - 3x ≤ 0.
Solution:
6 - 3x ≤ 0 => -3x ≤ -6 => x ≥ 2.
Steps: 5
Show Steps
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.
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