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What is the solution to the inequality 6 - 3x ≥ 0?
What is the solution to the inequality 6 - 3x ≥ 0?
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Q1
What is the solution to 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: What is the solution to the inequality 6 - 3x ≥ 0?
Solution:
6 - 3x ≥ 0 => -3x ≥ -6 => x ≤ 2.
Steps: 5
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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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