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Solve the inequality 2x + 3 > 7.

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Question: Solve the inequality 2x + 3 > 7.

Options:

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

Correct Answer: x > 2

Solution:

To solve 2x + 3 > 7, subtract 3 from both sides: 2x > 4. Then divide by 2: x > 2.

Solve the inequality 2x + 3 > 7.

Practice Questions

Q1
Solve the inequality 2x + 3 > 7.
  1. x < 2
  2. x > 2
  3. x < 3
  4. x > 3

Questions & Step-by-Step Solutions

Solve the inequality 2x + 3 > 7.
  • 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, including the rules for adding, subtracting, multiplying, and dividing by positive and negative numbers.
  • Algebraic Manipulation – Skills in rearranging equations and isolating variables to find solutions.
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