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Solve the inequality: 7 - 2x < 1.

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Question: Solve the inequality: 7 - 2x < 1.

Options:

  1. x > 3
  2. x < 3
  3. x > 4
  4. x < 4

Correct Answer: x < 3

Solution: 

Step 1: Subtract 7 from both sides: -2x < -6. Step 2: Divide by -2 (reverse the inequality): x > 3.

Solve the inequality: 7 - 2x < 1.

Practice Questions

Q1
Solve the inequality: 7 - 2x < 1.
  1. x > 3
  2. x < 3
  3. x > 4
  4. x < 4

Questions & Step-by-Step Solutions

Solve the inequality: 7 - 2x < 1.
  • Inequalities – Understanding how to manipulate and solve inequalities, including the rule of reversing the inequality sign when dividing by a negative number.
  • Algebraic Manipulation – Skills in performing basic algebraic operations such as addition, subtraction, multiplication, and division.
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