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Solve the inequality 7x - 5 < 2x + 10. What is the solution?
Solve the inequality 7x - 5 < 2x + 10. What is the solution?
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Q1
Solve the inequality 7x - 5 < 2x + 10. What is the solution?
x < 1
x > 1
x < 2
x > 2
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7x - 5 < 2x + 10 => 5x < 15 => x < 3.
Questions & Step-by-step Solutions
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Q
Q: Solve the inequality 7x - 5 < 2x + 10. What is the solution?
Solution:
7x - 5 < 2x + 10 => 5x < 15 => x < 3.
Steps: 7
Show Steps
Step 1: Start with the inequality: 7x - 5 < 2x + 10.
Step 2: To get all the x terms on one side, subtract 2x from both sides: 7x - 2x - 5 < 10.
Step 3: This simplifies to: 5x - 5 < 10.
Step 4: Next, add 5 to both sides to isolate the term with x: 5x < 10 + 5.
Step 5: This simplifies to: 5x < 15.
Step 6: Finally, divide both sides by 5 to solve for x: x < 15 / 5.
Step 7: This simplifies to: x < 3.
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