GRE Prep Club Daily Prep
Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.
Customized
for You
Track
Your Progress
Practice
Pays
Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.
Retired Moderator
Joined: 10 Apr 2015
Posts: 6218
Given Kudos: 136
If 7x > 4 + 5x
[#permalink]
16 Feb 2022, 07:00
16 Feb 2022, 07:00
4
Bookmarks
00:00
Question Stats:
86% (01:42) correct
13% (01:57) wrong based on 30 sessions
Hide Show timer Statistics
If \(7x > 4 + 5x\), and \(3 – 2x < -x + 4 < 7.8 – 2x\), what is the value of the integer \(x\)?
Show: ::
Answer: 3
Retired Moderator
Joined: 10 Apr 2015
Posts: 6218
Given Kudos: 136
Re: If 7x > 4 + 5x
[#permalink]
16 Feb 2022, 07:41
16 Feb 2022, 07:41
1
1
Bookmarks
Carcass wrote:
If \(7x > 4 + 5x\), and \(3 – 2x < -x + 4 < 7.8 – 2x\), what is the value of the integer \(x\)?
Show: ::
Answer: 3
Take: 7x > 4 + 5x
Subtract 5x from both sides: \(2x > 4\)
Divide both sides by 2 to get: \(x > 2\)
Since we are told x is an integer, the possible values of x are: 3, 4, 5, 6, 7,...
Now take: 3 – 2x < -x + 4 < 7.8 – 2x
Add 2x to all three parts: 3 < x + 4 < 7.8
Subtract 4 from all three parts: -1 < x < 3.8
So, the possible values of integer x are: 0, 1, 2 and 3
Since the x-value must satisfy both inequalities, the correct answer must be x = 3
Answer: 3
