Walkabout wrote:
Which of the following is equivalent to the pair of inequalities x + 6 > 10 and x - 3 ≤ 5 ?
(A) 2 < x < 16
(B) 2 ≤ x < 4
(C) 2 < x ≤ 8
(D) 4 < x ≤ 8
(E) 4 ≤ x ≤ 16
Another approach is to
eliminate 4 of the answer choicesFirst, x + 6 > 10 can be rewritten as x > 4
This means that x CANNOT equal 3
When we check the answer choices, we see that A, B and C all say that x COULD equal 3
So, eliminate A, B and C
Second, x - 3 ≤ 5 can be rewritten as x ≤ 8
This means that x CANNOT equal 9
When we check the remaining answer choices, we see that E says that x COULD equal 9
So, eliminate E
We're left with answer choice D
Cheers,
Brent
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