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Find the solution to the inequality: 4x - 7 ≥ 5.

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Question: Find the solution to the inequality: 4x - 7 ≥ 5.

Options:

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

Correct Answer: x ≥ 3

Solution: 

Step 1: Add 7 to both sides: 4x ≥ 12. Step 2: Divide by 4: x ≥ 3.

Find the solution to the inequality: 4x - 7 ≥ 5.

Practice Questions

Q1
Find the solution to the inequality: 4x - 7 ≥ 5.
  1. x < 3
  2. x > 3
  3. x ≤ 3
  4. x ≥ 3

Questions & Step-by-Step Solutions

Find the solution to the inequality: 4x - 7 ≥ 5.
  • Step 1: Start with the inequality 4x - 7 ≥ 5.
  • Step 2: Add 7 to both sides of the inequality to get rid of the -7. This gives you 4x ≥ 12.
  • Step 3: Now, divide both sides of the inequality by 4 to solve for x. This results in x ≥ 3.
  • Inequalities – Understanding how to manipulate and solve inequalities, including adding, subtracting, multiplying, and dividing both sides.
  • Algebraic Manipulation – Applying basic algebraic operations to isolate the variable and find its range of values.
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