y > 2x - 12x > 5Which of the following consists of the y-coordinates of all the points that satisfy the system of inequalities above?
Correct answer: B. y > 4
- A. y > 6
- B. y > 4
- C. y > 5/2
- D. y > 3/2
Explanation
Choice B is correct. Subtracting the same number from each side of an inequality gives an equivalent inequality. Hence, subtracting 1 from each side of the inequality 2x > 5 gives 2x − 1 > 4. So the given system of inequalities is equivalent to the system of inequalities y > 2x − 1 and 2x − 1 > 4, which can be rewritten as y > 2x − 1 > 4. Using the transitive property of inequalities, it follows that y > 4.
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