If x is an integer and y = –3x + 7, what is the least value of x for

Question

If x is an integer and y = –3x + 7, what is the least value of x for which y is less than 1?

(A) 1
(B) 2
(C) 3
(D) 4
(E) 5

Source:   Nova GMAT  
Difficulty Level:   550

Kritesh · Answer

The least value of x for which y is less than 1 is 3.

y = -3x+7 = -3(3) + 7 = -2.

Option A and B yields positive value .

Option D and E gives -ve value but not the least value when compared to option C.

Hence answer is option C  .

gracie · Answer

y=-3x+7
if y=1, then x=2
if y<1, then x>2
least value of x=3
C

amanvermagmat · Answer

If y < 1, it means 
-3x + 7 <1 
-3x < -6

Dividing both sides by -3
x > 2

Minimum integer value greater than 2 is 3. So minimum value x can take is 3.

Hence answer is  C

singhabhijeet · Answer

Quickest way to solve such question is using Ans option. Substitute answer options into the equation.

Ans : C

shashankism · Answer

y = -3x + 7 < 1 3x > 6 x > 2 so for y<1, x>2.. So, x = 3 Answer C..

TheKingInTheNorth · Answer

If x is an integer and y = –3x + 7, what is the least value of x for which y is less than 1?

(A) 1
(B) 2
(C) 3
(D) 4
(E) 5

two ways to solve the problem
1. Number plugging
y = –3x + 7 
given that y < 1 
 –3x + 7 < 1 
Now substitute the value of x such that the value of on left hand side of the equation must be less than 1 
 let say x =1 , then –3x + 7 = 4 
x=2 , then –3x + 7 = 1 
x=3 , then –3x + 7 = -2

the least value of x for which y is less than 1 , so x= 3

2 . solve the inequality 
y = –3x + 7 , given that y < 1
therefore –3x + 7 < 1 
x< -2 
therefore for the minimum value of x is 3

C is the answer .

Regards,
Press Kudos if you the post .

JeffTargetTestPrep · Answer

Let’s analyze each answer choice:
 
A) x = 1
 
y = -3(1) + 7 = 4
 
B) x = 2
 
y = -3(2) + 7 = 1
 
C) x = 3
 
y = -3(3) + 7 = -2
 
Since -2 is the first negative value for y, we can stop here. The least value for x that makes y negative is 3.
 
Alternative solution:
 
Since y = –3x + 7 and we want y to be less than 1, we have:
 
–3x + 7 < 1
 
–3x < –6
 
x > 2
 
The least integer that is greater than 2 is 3, so x = 3.
 
Answer: C

KSBGC · Answer

Back solving is the way to deal with this question. But before doing so, we have to mark the word least value of x and y is less than 1.

Only option C works. This the least value of x and for this value y is less than 1.

Thus the best answer is C.

Kinshook · Answer

Asked: If x is an integer and y = –3x + 7, what is the least value of x for which y is less than 1?

y = - 3x + 7

When x = 2; y = 1
When x=3; y = -2

IMO C

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If x is an integer and y = –3x + 7, what is the least value of x for

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If x is an integer and y = –3x + 7, what is the least value of x for

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