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If 2x + 3 > 7, what is the solution set for x?

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Question: If 2x + 3 > 7, what is the solution set for x?

Options:

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

Correct Answer: x > 2

Solution: 

Subtract 3 from both sides: 2x > 4. Divide by 2: x > 2.

If 2x + 3 > 7, what is the solution set for x?

Practice Questions

Q1
If 2x + 3 > 7, what is the solution set for x?
  1. x > 2
  2. x < 2
  3. x > 3
  4. x < 3

Questions & Step-by-Step Solutions

If 2x + 3 > 7, what is the solution set for x?
  • Step 1: Start with the inequality 2x + 3 > 7.
  • Step 2: Subtract 3 from both sides to isolate the term with x. This gives you 2x > 4.
  • Step 3: Now, divide both sides of the inequality by 2 to solve for x. This results in x > 2.
  • Inequalities – Understanding how to manipulate and solve inequalities.
  • Algebraic Operations – Applying basic algebraic operations such as addition, subtraction, and division.
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