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Solve the inequality: 7 - 3x < 1.

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Question: Solve the inequality: 7 - 3x < 1.

Options:

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

Correct Answer: x > 2

Solution: 

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

Solve the inequality: 7 - 3x < 1.

Practice Questions

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

Questions & Step-by-Step Solutions

Solve the inequality: 7 - 3x < 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 algebraic operations such as addition, subtraction, multiplication, and division to isolate the variable.
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