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What is the solution to the inequality 7x - 4 < 3x + 8?
What is the solution to the inequality 7x - 4 < 3x + 8?
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Q1
What is the solution to the inequality 7x - 4 < 3x + 8?
x < 3
x > 3
x < 2
x > 2
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7x - 4 < 3x + 8 => 4x < 12 => x < 3.
Questions & Step-by-step Solutions
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Q
Q: What is the solution to the inequality 7x - 4 < 3x + 8?
Solution:
7x - 4 < 3x + 8 => 4x < 12 => x < 3.
Steps: 7
Show Steps
Step 1: Start with the inequality: 7x - 4 < 3x + 8.
Step 2: To get all the x terms on one side, subtract 3x from both sides: 7x - 3x - 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 < 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 simplifies to: x < 3.
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