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
OA: D
Which of the following is equivalent (OG16)
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Hi boomgoesthegmat,
This question requires a bit of simple arithmetic to get to the solution.
We're asked for the inequality that is equivalent to the pair of inequalities x + 6 > 10 and x-3 <= 5....
X + 6 > 10
X > 4
and
X - 3 <= 5
X <= 8
Final Answer: D
GMAT assassins aren't born, they're made,
Rich
This question requires a bit of simple arithmetic to get to the solution.
We're asked for the inequality that is equivalent to the pair of inequalities x + 6 > 10 and x-3 <= 5....
X + 6 > 10
X > 4
and
X - 3 <= 5
X <= 8
Final Answer: D
GMAT assassins aren't born, they're made,
Rich
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boomgoesthegmat 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
OA: D
Another approach is to eliminate 4 of the answer choices
First, 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 D
Cheers,
Brent