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Numerical Inequalities · Question 79 of 79

A second vaccine must be kept within 3 °C of 5 °C.

Question 79

HardOriginal question

A vaccine must be stored between 2 °C and 8 °C, both included. A fridge's thermometer reads in °F, where F=95C+32F = \frac{9}{5}C + 32.

A second vaccine must be kept within 3 °C of 5 °C. Which inequality states this?

Options for question 79

Show the answer and explanation
CorrectNot quiteAnswer A

Correct answer: A

Explanation

  1. "Within 3 of 5" means the distance from 5 is at most 3.

  2. ∣C−5∣≤3|C - 5| \le 3, that is 2≤C≤82 \le C \le 8, the same range as the first vaccine.

Worth noting

∣C−3∣≤5|C - 3| \le 5 swaps the centre and the allowed distance.

Concept
A range as an absolute-value inequality
Typical time
150 s
Your time
—
The rule this testsInequalities from situations
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Ten questions from Numerical Inequalities, at your own pace.

Practise this chapter →

Ten questions from Numerical Inequalities, at your own pace.