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Which of the following represents the solution to the inequality 6x - 4 ≤ 2x + 8
Which of the following represents the solution to the inequality 6x - 4 ≤ 2x + 8?
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Practice Questions
1 question
Q1
Which of the following represents the solution to the inequality 6x - 4 ≤ 2x + 8?
x ≤ 3
x ≥ 3
x < 3
x > 3
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6x - 4 ≤ 2x + 8 => 4x ≤ 12 => x ≤ 3.
Questions & Step-by-step Solutions
1 item
Q
Q: Which of the following represents the solution to the inequality 6x - 4 ≤ 2x + 8?
Solution:
6x - 4 ≤ 2x + 8 => 4x ≤ 12 => x ≤ 3.
Steps: 7
Show Steps
Step 1: Start with the inequality: 6x - 4 ≤ 2x + 8.
Step 2: To get all the x terms on one side, subtract 2x from both sides: 6x - 2x - 4 ≤ 8.
Step 3: This simplifies to: 4x - 4 ≤ 8.
Step 4: Next, add 4 to both sides to isolate the term with x: 4x - 4 + 4 ≤ 8 + 4.
Step 5: This simplifies to: 4x ≤ 12.
Step 6: Finally, divide both sides by 4 to solve for x: x ≤ 12 / 4.
Step 7: This gives us the final solution: x ≤ 3.
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