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Solve the inequality 7x + 2 < 3x + 10.
Solve the inequality 7x + 2 < 3x + 10.
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Practice Questions
1 question
Q1
Solve the inequality 7x + 2 < 3x + 10.
x < 2
x > 2
x ≤ 2
x ≥ 2
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7x + 2 < 3x + 10 => 4x < 8 => x < 2.
Questions & Step-by-step Solutions
1 item
Q
Q: Solve the inequality 7x + 2 < 3x + 10.
Solution:
7x + 2 < 3x + 10 => 4x < 8 => x < 2.
Steps: 7
Show Steps
Step 1: Start with the inequality: 7x + 2 < 3x + 10.
Step 2: To get all the x terms on one side, subtract 3x from both sides: 7x - 3x + 2 < 10.
Step 3: This simplifies to: 4x + 2 < 10.
Step 4: Now, subtract 2 from both sides to isolate the term with x: 4x < 10 - 2.
Step 5: This simplifies to: 4x < 8.
Step 6: Finally, divide both sides by 4 to solve for x: x < 8 / 4.
Step 7: This gives us the final answer: x < 2.
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