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What is the solution to the inequality 6x + 4 < 2x + 20?
Practice Questions
Q1
What is the solution to the inequality 6x + 4 < 2x + 20?
x < 4
x > 4
x ≤ 4
x ≥ 4
Questions & Step-by-Step Solutions
What is the solution to the inequality 6x + 4 < 2x + 20?
Correct Answer: x < 4
Steps
Concepts
Step 1: Start with the inequality: 6x + 4 < 2x + 20.
Step 2: To get all the x terms on one side, subtract 2x from both sides: 6x - 2x + 4 < 20.
Step 3: This simplifies to: 4x + 4 < 20.
Step 4: Next, subtract 4 from both sides to isolate the term with x: 4x < 20 - 4.
Step 5: This simplifies to: 4x < 16.
Step 6: Finally, divide both sides by 4 to solve for x: x < 16 / 4.
Step 7: This gives us the final solution: x < 4.
No concepts available.
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