A food safety regulation requires keeping a certain food at least 70

Question

A food safety regulation requires keeping a certain food at least 70 degrees hotter or colder than 80 degrees Fahrenheit. If T is the range of temperatures in degrees Fahrenheit at which the food can be kept under the regulation, which of the following accurately represents T?

(A) |T + 70| = 80

(B) |T – 70| ≤ 80

(C) |150 – T| ≥ 80

(D) |T – 80| ≤ 70

(E) |T – 80| ≥ 70

(A) |T + 70| = 80

(B) |T – 70| ≤ 80

(C) |150 – T| ≥ 80

(D) |T – 80| ≤ 70

(E) |T – 80| ≥ 70

Source:  Marty Murray Coaching

Krunaal · Answer

At least 70 degrees hotter than 80 degrees => T ≥ 80 + 70 =>  T   ≥ 150

At least 70 degrees colder than 80 degrees => T ≤ 80 - 70 =>  T ≤ 10

So,  T ≥ 150  or  T ≤ 10  is the valid range. Now, since the range is not between two numbers, we can eliminate answer choices that have ≤, option C and E remain.

Let's check option E. first,

|T - 80| ≥ 70

T - 80 ≥ 70 or T - 80 ≤ -70

T ≥ 150  or  T ≤ 10

This is the correct range.

Answer E.

haianh · Answer

"at least 70 degrees hotter or colder than 80 degrees F"
 	o  On a number line, if T is the allowed temperatures, then the distance from T to 80 must be  \geq  70. Distance from T to 80 = |T-80|
 	o |T-80| \geq 70

Answer: E

Rishm · Answer

Difficult question, we have the range as more/equal to 70 and less than/equal to 80 degrees Fahrenheit, Now you get the range as more than or equal to 150. Now only 5th option here satisfies the equation. Hence E is our option and correct answer.

MartyMurray · Answer

A food safety regulation requires keeping a certain food at least 70 degrees hotter or colder than 80 degrees Fahrenheit. If T is the range of temperatures in degrees Fahrenheit at which the food can be kept under the regulation, which of the following accurately represents T?

(A) |T + 70| = 80

(B) |T – 70| ≤ 80

(C) |150 – T| ≥ 80

(D) |T – 80| ≤ 70

(E) |T – 80| ≥ 70

The prompt specifies a rule for the difference between T and 80.

An absolute value expression of the difference between two numbers  x  and  y  will be in the form | x  –  y |.

So, in this case, to express the difference between T and 80 degrees, we can use |T – 80|.

The prompt says that that difference must be at least 70. In other words, it must be greater than or equal to 70.

To express that relationship, we use ≥.

So, the correct expression of the range of temperatures is the following:

|T – 80| ≥ 70

(A) |T + 70| = 80

(B) |T – 70| ≤ 80

(C) |150 – T| ≥ 80

(D) |T – 80| ≤ 70

(E) |T – 80| ≥ 70

Correct answer:   E

repellatquas · Answer

MartyMurray

Did everyone translate this question correctly as detailed above? Anybody who read the statement as two different ranges of T : at least 70 degrees hotter (T>=70) or colder than 80 degrees (T<80) => 70 <= T < 80 ?

how to ensure that we are reading and interpretating the question correctly?

MartyMurray · Answer

A good habit to have when doing GMAT Problem-Solving questions is checking the answer choices before answering the question.

In this case, while we could interpret the prompt in the alternate way you suggested, a quick review of the answer choices reveals that none fit that reading and that all involve a midpoint with two other points equidistant from the midpoint. So, we can safely presume that the prompt should be read in the way that fits the answer choices and go with the meaning that the temperature must be 70 degrees hotter or 70 degrees colder than 80 degrees.

A food safety regulation requires keeping a certain food at least 70

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A food safety regulation requires keeping a certain food at least 70

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