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Find the solution set for the inequality 3x - 7 ≤ 2.
Find the solution set for the inequality 3x - 7 ≤ 2.
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Practice Questions
1 question
Q1
Find the solution set for the inequality 3x - 7 ≤ 2.
x ≤ 3
x ≥ 3
x ≤ 1
x ≥ 1
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Add 7 to both sides: 3x ≤ 9. Then divide by 3: x ≤ 3.
Questions & Step-by-step Solutions
1 item
Q
Q: Find the solution set for the inequality 3x - 7 ≤ 2.
Solution:
Add 7 to both sides: 3x ≤ 9. Then divide by 3: x ≤ 3.
Steps: 5
Show Steps
Step 1: Start with the inequality 3x - 7 ≤ 2.
Step 2: Add 7 to both sides of the inequality to get rid of the -7. This gives you 3x - 7 + 7 ≤ 2 + 7.
Step 3: Simplify both sides. The left side becomes 3x and the right side becomes 9. So now you have 3x ≤ 9.
Step 4: Now, divide both sides of the inequality by 3 to solve for x. This gives you 3x / 3 ≤ 9 / 3.
Step 5: Simplify again. The left side becomes x and the right side becomes 3. So now you have x ≤ 3.
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