Gce Model Questions Vol1 2022 Mathematics Question 8

Practice essay / theory question 8 from the 2022 Gce Model Questions Vol1 Mathematics examination. This question covers Inequalities .

Gce Model Questions Vol1 2022 Mathematics Essay / Theory
Topic: Inequalities
Question 8 GCE_MODEL_QUESTIONS_VOL1 • 2022 • MATHEMATICS • essay

A chemical reaction rate R (mol L⁻¹ s⁻¹) varies with temperature T (°C) according to R = (T² – 12T + 35) / (T – 5). The reaction is considered safe only when the rate does not exceed 4 mol L⁻¹ s⁻¹.

Question Parts

( a )
Write the inequality that represents the safety condition for the reaction rate.
( b )
Bring all terms to one side, simplify the inequality and factorise the numerator.
( c )
Solve the inequality, stating any restrictions on T, and give the solution set in interval notation.

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About This Question

This is Gce Model Questions Vol1 2022 Mathematics Question 8. It is one of the essay questions from the 2022 Gce Model Questions Vol1 Mathematics examination.

The question covers Inequalities .

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