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If y < 2 and y + 3 > 0, which of the following is true?

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Question: If y < 2 and y + 3 > 0, which of the following is true?

Options:

  1. y < -3
  2. y > -3
  3. y < 0
  4. y > 0

Correct Answer: y > -3

Solution: 

From y + 3 > 0, we get y > -3. Since y < 2, the only true statement is y > -3.

If y < 2 and y + 3 > 0, which of the following is true?

Practice Questions

Q1
If y < 2 and y + 3 > 0, which of the following is true?
  1. y < -3
  2. y > -3
  3. y < 0
  4. y > 0

Questions & Step-by-Step Solutions

If y < 2 and y + 3 > 0, which of the following is true?
  • Step 1: Start with the first inequality: y < 2.
  • Step 2: Now look at the second inequality: y + 3 > 0.
  • Step 3: To solve y + 3 > 0, subtract 3 from both sides: y > -3.
  • Step 4: Now we have two inequalities: y < 2 and y > -3.
  • Step 5: The values of y must satisfy both inequalities at the same time.
  • Step 6: The range of y that satisfies both conditions is -3 < y < 2.
  • Step 7: The only true statement we can make from these inequalities is y > -3.
  • Inequalities – Understanding and solving inequalities to find the range of possible values for y.
  • Compound Inequalities – Analyzing multiple inequalities simultaneously to determine the valid range for a variable.
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