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Solve the inequality 4x - 7 < 9.

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Question: Solve the inequality 4x - 7 < 9.

Options:

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

Correct Answer: x < 3

Solution:

4x - 7 < 9 => 4x < 16 => x < 4.

Solve the inequality 4x - 7 < 9.

Practice Questions

Q1
Solve the inequality 4x - 7 < 9.
  1. x < 4
  2. x < 3
  3. x > 4
  4. x > 3

Questions & Step-by-Step Solutions

Solve the inequality 4x - 7 < 9.
Correct Answer: x < 4
  • Step 1: Start with the inequality: 4x - 7 < 9.
  • Step 2: Add 7 to both sides of the inequality to isolate the term with x. This gives you: 4x < 9 + 7.
  • Step 3: Simplify the right side: 9 + 7 = 16. Now you have: 4x < 16.
  • Step 4: Divide both sides of the inequality by 4 to solve for x. This gives you: x < 16 / 4.
  • Step 5: Simplify the right side: 16 / 4 = 4. Now you have: x < 4.
  • Inequalities – Understanding how to manipulate and solve inequalities involving linear expressions.
  • Algebraic Manipulation – Applying algebraic operations to isolate the variable and solve for its value.
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