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Determine the solution set for the inequality 2x + 3 > 7.

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Question: Determine the solution set for the inequality 2x + 3 > 7.

Options:

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

Correct Answer: x > 2

Solution:

2x + 3 > 7 => 2x > 4 => x > 2.

Determine the solution set for the inequality 2x + 3 > 7.

Practice Questions

Q1
Determine the solution set for the inequality 2x + 3 > 7.
  1. x < 2
  2. x > 2
  3. x < 3
  4. x > 3

Questions & Step-by-Step Solutions

Determine the solution set for the inequality 2x + 3 > 7.
Correct Answer: x > 2
  • Step 1: Start with the inequality: 2x + 3 > 7.
  • Step 2: Subtract 3 from both sides to isolate the term with x: 2x + 3 - 3 > 7 - 3.
  • Step 3: Simplify the left and right sides: 2x > 4.
  • Step 4: Divide both sides by 2 to solve for x: 2x / 2 > 4 / 2.
  • Step 5: Simplify again: x > 2.
  • Inequalities – Understanding how to manipulate and solve linear inequalities.
  • Algebraic Manipulation – Applying operations to isolate the variable on one side of the inequality.
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