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What is the solution for the inequality 6 - 2x ≥ 0?
What is the solution for the inequality 6 - 2x ≥ 0?
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Q1
What is the solution for the inequality 6 - 2x ≥ 0?
x ≤ 3
x > 3
x < 3
x ≥ 3
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6 - 2x ≥ 0 => -2x ≥ -6 => x ≤ 3.
Questions & Step-by-step Solutions
1 item
Q
Q: What is the solution for the inequality 6 - 2x ≥ 0?
Solution:
6 - 2x ≥ 0 => -2x ≥ -6 => x ≤ 3.
Steps: 5
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Step 1: Start with the inequality: 6 - 2x ≥ 0.
Step 2: To isolate the term with x, subtract 6 from both sides: 6 - 2x - 6 ≥ 0 - 6.
Step 3: This simplifies to: -2x ≥ -6.
Step 4: Now, divide both sides by -2. Remember, when you divide by a negative number, you must flip the inequality sign: -2x / -2 ≤ -6 / -2.
Step 5: This simplifies to: x ≤ 3.
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