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Find the solution for the inequality: 8x - 3 > 5.

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Question: Find the solution for the inequality: 8x - 3 > 5.

Options:

  1. x > 1
  2. x < 1
  3. x > 0.5
  4. x < 0.5

Correct Answer: x > 1

Solution: 

8x - 3 > 5 => 8x > 8 => x > 1.

Find the solution for the inequality: 8x - 3 > 5.

Practice Questions

Q1
Find the solution for the inequality: 8x - 3 > 5.
  1. x > 1
  2. x < 1
  3. x > 0.5
  4. x < 0.5

Questions & Step-by-Step Solutions

Find the solution for the inequality: 8x - 3 > 5.
  • Step 1: Start with the inequality: 8x - 3 > 5.
  • Step 2: Add 3 to both sides of the inequality to isolate the term with x. This gives you: 8x - 3 + 3 > 5 + 3.
  • Step 3: Simplify both sides. You get: 8x > 8.
  • Step 4: Now, divide both sides by 8 to solve for x. This gives you: x > 8 / 8.
  • Step 5: Simplify the right side. You get: x > 1.
  • Inequalities – Understanding how to manipulate and solve inequalities, including isolating the variable.
  • Algebraic Manipulation – Applying algebraic operations correctly to both sides of the inequality.
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