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Solve the inequality x/3 - 2 > 1. What is the solution set?
Solve the inequality x/3 - 2 > 1. What is the solution set?
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Practice Questions
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Q1
Solve the inequality x/3 - 2 > 1. What is the solution set?
x < 9
x > 9
x < 3
x > 3
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x/3 - 2 > 1 => x/3 > 3 => x > 9.
Questions & Step-by-step Solutions
1 item
Q
Q: Solve the inequality x/3 - 2 > 1. What is the solution set?
Solution:
x/3 - 2 > 1 => x/3 > 3 => x > 9.
Steps: 6
Show Steps
Step 1: Start with the inequality: x/3 - 2 > 1.
Step 2: To isolate x/3, add 2 to both sides of the inequality: x/3 - 2 + 2 > 1 + 2.
Step 3: This simplifies to: x/3 > 3.
Step 4: Now, to get rid of the fraction, multiply both sides by 3: 3 * (x/3) > 3 * 3.
Step 5: This simplifies to: x > 9.
Step 6: The solution set is all values of x that are greater than 9.
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