AlgebraEasy–MediumInequality that holds for every real number
Algebra practice question
Which of the following inequalities is true for every real value of x?
- A. x + 1 > xCorrect
- B. 2x > x
- C. x² > 0
- D. x > 0
Answer: A. x + 1 > x
x + 1 > x simplifies to 1 > 0, which is always true.
Why the other answers are wrong
- B. 2x > x
- 2x > x fails for x ≤ 0.
- C. x² > 0
- x² > 0 fails at x = 0.
- D. x > 0
- x > 0 fails for negative x and 0.
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