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Solve the inequality 4x - 7 ≥ 9.

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What’s inside this PDF?

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

Options:

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

Correct Answer: x ≥ 4

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 ≤ 4
  3. x > 4
  4. x < 4

Questions & Step-by-Step Solutions

Solve the inequality 4x - 7 ≥ 9.
  • 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 - 7 + 7 ≥ 9 + 7.
  • Step 3: Simplify both sides. You get 4x ≥ 16.
  • Step 4: Now, divide both sides by 4 to solve for x. This gives you x ≥ 16 / 4.
  • Step 5: Simplify the right side. You get x ≥ 4.
  • Linear Inequalities – This concept involves solving inequalities that can be manipulated similarly to equations, focusing on maintaining the inequality's direction.
  • Algebraic Manipulation – This involves performing operations on both sides of the inequality to isolate the variable.
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