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Determine the solution set for the inequality 7x + 3 < 4x + 12.
Determine the solution set for the inequality 7x + 3 < 4x + 12.
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Practice Questions
1 question
Q1
Determine the solution set for the inequality 7x + 3 < 4x + 12.
x < 3
x > 3
x ≤ 3
x ≥ 3
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7x + 3 < 4x + 12 => 3x < 9 => x < 3.
Questions & Step-by-step Solutions
1 item
Q
Q: Determine the solution set for the inequality 7x + 3 < 4x + 12.
Solution:
7x + 3 < 4x + 12 => 3x < 9 => x < 3.
Steps: 7
Show Steps
Step 1: Start with the inequality: 7x + 3 < 4x + 12.
Step 2: To isolate the variable x, subtract 4x from both sides: 7x - 4x + 3 < 12.
Step 3: This simplifies to: 3x + 3 < 12.
Step 4: Next, subtract 3 from both sides: 3x < 12 - 3.
Step 5: This simplifies to: 3x < 9.
Step 6: Finally, divide both sides by 3 to solve for x: x < 9 / 3.
Step 7: This gives us the final solution: x < 3.
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