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What is the solution to the inequality 2x + 5 ≥ 3?

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Question: What is the solution to the inequality 2x + 5 ≥ 3?

Options:

  1. x ≥ -1
  2. x ≤ -1
  3. x ≥ 1
  4. x ≤ 1

Correct Answer: x ≥ -1

Solution: 

Subtract 5 from both sides: 2x ≥ -2. Then divide by 2: x ≥ -1.

What is the solution to the inequality 2x + 5 ≥ 3?

Practice Questions

Q1
What is the solution to the inequality 2x + 5 ≥ 3?
  1. x ≥ -1
  2. x ≤ -1
  3. x ≥ 1
  4. x ≤ 1

Questions & Step-by-Step Solutions

What is the solution to the inequality 2x + 5 ≥ 3?
  • Step 1: Start with the inequality 2x + 5 ≥ 3.
  • Step 2: Subtract 5 from both sides to isolate the term with x. This gives you 2x ≥ 3 - 5.
  • Step 3: Simplify the right side. 3 - 5 equals -2, so now you have 2x ≥ -2.
  • Step 4: Now, divide both sides of the inequality by 2 to solve for x. This gives you x ≥ -2 / 2.
  • Step 5: Simplify the right side. -2 divided by 2 equals -1, so the final solution is x ≥ -1.
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