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Solve the inequality 2x + 3 ≥ 7.

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What’s inside this PDF?

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:

Step 1: Subtract 3 from both sides: 2x ≥ 4. Step 2: Divide both sides 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.
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. 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 – Applying algebraic operations correctly to isolate the variable and solve for its value.
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