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If x is an integer, what is the value of x such that 5x + 7 is mini
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10 Aug 2018, 02:32
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If x is an integer, what is the value of x such that 5x + 7 is mini
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10 Aug 2018, 02:36
Bunuel wrote: If x is an integer, what is the value of x such that 5x + 7 is minimized?
A. 0 B. 1 C. 2 D. 3 E. 4 Back solve the question. Scan each answer choice. Only option B works here.



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Re: If x is an integer, what is the value of x such that 5x + 7 is mini
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10 Aug 2018, 02:46
Bunuel wrote: If x is an integer, what is the value of x such that 5x + 7 is minimized?
A. 0 B. 1 C. 2 D. 3 E. 4 Minimum value of 5x + 7 is zero Or, 5x + 7=0 Or, 5x+7=0 Or, 5x=7 Or, x=7/5=1.4 So, integer value less than 1.4 is 1. So, when x=1, 5x + 7=5+7=2 Ans. (B)
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If x is an integer, what is the value of x such that 5x + 7 is mini
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13 Aug 2018, 06:53
Solution Given:• We are given an expression, 5x + 7 • x is an integer
To find:• Value of x, such that 5x + 7 is minimum
Approach and Working: • The minimum value of a modulus function is 0. • So, 5x + 7 will be equal to 0, when x = 7/5 = 1.4 • But, we need to find an integer value of x, for which 5x + 7 is minimum • Since, the value of 5x + 7increases for both x > 1.4 and x < 1.4, so we need to check its value for the integers close to 1.4, which are 1 and 2.
o For x = 1, the value of 5x + 7 is 2 o For x = 2, the value of 5x + 7 is 3
Therefore, the value of 5x + 7 is minimum when x = 1 Hence, the correct answer is option B Answer: B
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If x is an integer, what is the value of x such that 5x + 7 is mini
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18 Aug 2018, 18:29
Bunuel wrote: If x is an integer, what is the value of x such that 5x + 7 is minimized?
A. 0 B. 1 C. 2 D. 3 E. 4 Recall that the smallest possible value of an absolute value expression is zero. Thus, to minimize 5x + 7, we need to get 5x + 7 as close to zero as possible. When x is 1, we have: 5(1) + 7 = 2 = 2, which is the smallest we can make the given expression when x is an integer. Answer: B
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Re: If x is an integer, what is the value of x such that 5x + 7 is mini
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18 Aug 2018, 18:42
We can substitute for x and check. When x= 0 ,we get 7, When x=1,we get 2 When x=2,we get 3 We can stop here and conclude that B is the correct choice. Sent from my Redmi Note 3 using GMAT Club Forum mobile app
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Re: If x is an integer, what is the value of x such that 5x + 7 is mini
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18 Aug 2018, 19:15
Bunuel wrote: If x is an integer, what is the value of x such that 5x + 7 is minimized?
A. 0 B. 1 C. 2 D. 3 E. 4 What is the minimum value of any absolute value? 0. 5x + 7 = 0 x = 7/5 But we need x to be an integer. 7/5 lies between 1 and 2, closer to 1. So when x = 1, 5x + 7 will take the minimum value. If you are not sure why, think of what the graph of y = 5x + 7 would look like. It will be a symmetrical V resting on x = 7/5. The value of y will continuously increase on both sides of x = 7/5. When you move to the left on the x axis, at x = 1, y will be 2. When you move to the right on the x axis, at x = 2, y will be 3. The minimum value for an integer value of x will be y = 2 for x = 1.
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Re: If x is an integer, what is the value of x such that 5x + 7 is mini
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18 Aug 2018, 19:24
Bunuel wrote: If x is an integer, what is the value of x such that 5x + 7 is minimized?
A. 0 B. 1 C. 2 D. 3 E. 4 Responding to a pm: Quote: I am stuck b/w A and B. If they are looking for minimum value when you plug in A you get + /  7 and with B you get +2. So shouldn't the answer be A given that 7 is less than 2. (or minimum value.)?? We are looking for the minimum value of 5x + 7. If we put x = 0, 5x + 7 = 5*0 + 7 = 7 Note that 7 is NOT 7 or 7. 7 and 7 both are equal to 7 ONLY If we put x = 1, 5x + 7 = 5*1 + 7 = 2 ONLY You are getting confused with the definition of absolute values: x = x if x >= 0 x = x if x < 0 So if x = 5, x = x = 5 (because x > 0) If x = 5, x = x =  (5) = 5 (because x < 0) That is the whole point of absolute value: It is never negative. It is the distance in physical terms so it cannot be negative.
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Re: If x is an integer, what is the value of x such that 5x + 7 is mini
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17 Nov 2018, 01:50
VeritasKarishma wrote: Bunuel wrote: If x is an integer, what is the value of x such that 5x + 7 is minimized?
A. 0 B. 1 C. 2 D. 3 E. 4 What is the minimum value of any absolute value? 0. 5x + 7 = 0 x = 7/5 But we need x to be an integer. 7/5 lies between 1 and 2, closer to 1. So when x = 1, 5x + 7 will take the minimum value. If you are not sure why, think of what the graph of y = 5x + 7 would look like. It will be a symmetrical V resting on x = 7/5. The value of y will continuously increase on both sides of x = 7/5. When you move to the left on the x axis, at x = 1, y will be 2. When you move to the right on the x axis, at x = 2, y will be 3. The minimum value for an integer value of x will be y = 2 for x = 1. math to english: x  5 = 10 means "the distance of x is 10 centered around 5" what does 5x + 7 mean? is this correct: distance of 5x centered around 7 regards




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