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Solve the inequality 7x - 4 < 2x + 11. What is the solution?
Solve the inequality 7x - 4 < 2x + 11. What is the solution?
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Practice Questions
1 question
Q1
Solve the inequality 7x - 4 < 2x + 11. What is the solution?
x < 3
x > 3
x ≤ 3
x ≥ 3
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7x - 4 < 2x + 11 => 5x < 15 => x < 3.
Questions & Step-by-step Solutions
1 item
Q
Q: Solve the inequality 7x - 4 < 2x + 11. What is the solution?
Solution:
7x - 4 < 2x + 11 => 5x < 15 => x < 3.
Steps: 7
Show Steps
Step 1: Start with the inequality: 7x - 4 < 2x + 11.
Step 2: To get all the x terms on one side, subtract 2x from both sides: 7x - 2x - 4 < 11.
Step 3: Simplify the left side: 5x - 4 < 11.
Step 4: Next, add 4 to both sides to isolate the term with x: 5x < 11 + 4.
Step 5: Simplify the right side: 5x < 15.
Step 6: Finally, divide both sides by 5 to solve for x: x < 15 / 5.
Step 7: Simplify the right side: x < 3.
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