Which of the following inequalities represents the entire solution set for x if x > x?
A. x ≥ 0
B. x > 0
C. x ≤ 0
D. x < 0
E. x < −1
OA D
Source: Veritas Prep
Which of the following inequalities represents the entire solution set for x if x > x?
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One approach is to test numbers...BTGmoderatorDC wrote: ↑Fri Oct 08, 2021 6:26 pmWhich of the following inequalities represents the entire solution set for x if x > x?
A. x ≥ 0
B. x > 0
C. x ≤ 0
D. x < 0
E. x < −1
OA D
Source: Veritas Prep
For example, does x = 1 satisfy the given inequality?
When we test, we get 1 > 1, which is not true.
Since x = 1 is NOT a solution, we can eliminate answer choices A and B, because they say that x = 1 IS a solution.
Now let's test another number.
Does x = 0 satisfy the given inequality?
When we test, we get 0 > 0, which is not true.
Since x = 1 is NOT a solution, we can eliminate answer choice C, because it says that x = 0 IS a solution.
We are down to D or E.
Does x = 1 satisfy the given inequality?
When we test, we get 1 > 1, which is true.
Since x = 1 IS a solution, we can eliminate answer choice E, because is says that x = 0 is NOT a solution.
By the process of elimination, the correct answer is D.