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Determine the solution set for the inequality 6x - 4 < 2x + 8.
Determine the solution set for the inequality 6x - 4 < 2x + 8.
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Practice Questions
1 question
Q1
Determine the solution set for the inequality 6x - 4 < 2x + 8.
x < 3
x > 3
x < 2
x > 2
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6x - 4 < 2x + 8 => 4x < 12 => x < 3.
Questions & Step-by-step Solutions
1 item
Q
Q: Determine the solution set for 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: Simplify the left side: 4x - 4 < 8.
Step 4: Next, add 4 to both sides to isolate the term with x: 4x < 8 + 4.
Step 5: Simplify the right side: 4x < 12.
Step 6: Finally, divide both sides by 4 to solve for x: x < 12 / 4.
Step 7: Simplify the right side: x < 3.
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