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If 2s > 8 and 3t < 9, which of the following could be the va
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29 Jul 2020, 10:45
29 Jul 2020, 10:45
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Question Stats:
72% (01:20) correct
27% (01:07) wrong based on 37 sessions
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If 2s > 8 and 3t < 9, which of the following could be the value of s-t?
I. -1
II. 0
III. 1
A. None
B. I only
C. II only
D. III only
E. II and III
Kudos for the right answer and explanation
I. -1
II. 0
III. 1
A. None
B. I only
C. II only
D. III only
E. II and III
Kudos for the right answer and explanation
Retired Moderator
Joined: 10 Apr 2015
Posts: 6218
Given Kudos: 136
Re: If 2s > 8 and 3t < 9, which of the following could be the va
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29 Jul 2020, 11:08
29 Jul 2020, 11:08
1
Carcass wrote:
If 2s > 8 and 3t < 9, which of the following could be the value of s-t?
I. -1
II. 0
III. 1
A. None
B. I only
C. II only
D. III only
E. II and III
Kudos for the right answer and explanation
I. -1
II. 0
III. 1
A. None
B. I only
C. II only
D. III only
E. II and III
Kudos for the right answer and explanation
Given: 2s > 8
Divide both sides by 2 to get: s > 4
Given: 3t < 9
Divide both sides by 3 to get: t < 3
NOTE: If we have two inequalities with the inequality symbols facing in the same direction, we can add the inequalities to learn something new.
So, take t < 3 and multiply both sides by -1 to get: -t > -3 [aside: when we divide or multiply both sides of an inequality by a NEGATIVE value, we mist REVERSE the symbol]
We now have:
s > 4
-t > -3
When we ADD these two inequalities, we get:
s - t > 1
If s - t > 1, then:
I) s - t CANNOT equal -1
II) s - t CANNOT equal 0
III) s - t CANNOT equal 1
Answer: A
Re: If 2s > 8 and 3t < 9, which of the following could be the va
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29 Jul 2020, 11:13
29 Jul 2020, 11:13
So, 2s > 8 => s > 4
and, 3t < 9 => t < 3 => -t > -3
Adding these two we get,
s - t > 4 - 3
=> s-t > 1
So, the answer is A.
and, 3t < 9 => t < 3 => -t > -3
Adding these two we get,
s - t > 4 - 3
=> s-t > 1
So, the answer is A.
