Neco 2020 Mathematics Question 8

Practice essay / theory question 8 from the 2020 Neco Mathematics examination. This question covers Inequalities, Square‑root manipulation, Domain restrictions, Application of inequalities .

Neco 2020 Mathematics Essay / Theory

Topics: Inequalities Square‑root manipulation Domain restrictions Application of inequalities

Question 8 NECO • 2020 • MATHEMATICS • essay

A company offers a discount \(d\)% on a product whose original price is \u20a62000. The discounted price \(P\) (in naira) is given by \(P = 2000\bigl(1 - \frac{d}{100}\bigr)\). The discount percentage must satisfy the inequality \(3d - 2 \le 4\sqrt{d+1}\) as well as the practical limits \(0 \le d \le 50\). Answer the following:

Question Parts

( a )

Solve the inequality \(3d - 2 \le 4\sqrt{d+1}\) for real values of \(d\).

( b )

Combine the result of part (a) with the condition \(0 \le d \le 50\) to give the final permissible range of the discount percentage.

( c )

Using the range obtained in part (b), calculate the minimum and maximum possible discounted prices of the product, rounding to the nearest naira.

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About This Question

This is Neco 2020 Mathematics Question 8. It is one of the essay questions from the 2020 Neco Mathematics examination.

The question covers Inequalities, Square‑root manipulation, Domain restrictions, Application of inequalities .

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