### 2022 NYJC Promo Q1

2022 NYJC Promo Q1 (i) Solve the inequality $ln left( x+1 right)le frac{4}{x}$. [3] (ii) Hence solve the inequality $cos x+1le {{text{e}}^{4sec x}}$ for $0<x<pi $. [3] Suggested Video Solutions

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# Inequalities

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Timothy Gan

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2022 NYJC Promo Q1

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2022 TJC Promo Q2

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2022 ASRJC Promo Q2

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2022 VJC Promo Q2

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2022 RI Promo Q2

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2022 YIJC Promo Q2

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2020 HCI C1CT2 Q1

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2022 RI P1 Q1

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2009 AJC Promo Q4

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TJC Inequalities Tutorial Q10

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This is Tim. Tim loves to teach math. Tim seeks to improve his teaching incessantly! Help Tim by telling him how he can do better.

Hope you find our articles enjoyable and have a great time learning math! 😁

Timothy Gan
2nd July 2024

2022 NYJC Promo Q1 (i) Solve the inequality $ln left( x+1 right)le frac{4}{x}$. [3] (ii) Hence solve the inequality $cos x+1le {{text{e}}^{4sec x}}$ for $0<x<pi $. [3] Suggested Video Solutions

Timothy Gan
2nd July 2024

2022 TJC Promo Q2 Solve the inequality $frac{x-2k}{{{x}^{2}}-k}le 0$ in terms of $k$ given that (i) $k$ is a real constant greater than $1$. [3] (ii) $k$ is a negative

Timothy Gan
2nd July 2024

2022 ASRJC Promo Q2 Using an algebraic method, solve $frac{{{x}^{2}}+2x+3}{{{x}^{2}}+x-2}ge 1$. [4] Suggested Video and Handwritten Solutions Continue reading

Timothy Gan
2nd July 2024

2022 VJC Promo Q2 (i) Show that ${{x}^{2}}+2x+2$ is always positive for all real values of $x$. [1] (ii) Without using a calculator, solve the inequality $frac{x-12}{{{x}^{2}}+3x-10}>1$. [3] Suggested Video

Timothy Gan
2nd July 2024

2022 RI Promo Q2 Without using a calculator, solve the inequality $3x+1le frac{{{x}^{2}}+2}{x}$. [5] Suggested Video and Handwritten Solutions Continue reading

Timothy Gan
2nd July 2024

2022 YIJC Promo Q2 (a) Using an algebraic method, solve the inequality $2x-1le frac{5}{x-2}$. [3] (b) Hence, solve (i) $2{{text{e}}^{x}}-1le frac{5}{{{text{e}}^{x}}-2}$, [2] (ii) $2x+1ge frac{5}{x+2}$. [2] Suggested Video Solutions Suggested Handwritten

Timothy Gan
24th June 2024

2020 HCI C1CT2 Q1 (i) Without using a calculator, solve the inequality $frac{x}{1-16{{x}^{4}}}le frac{x}{4{{x}^{2}}+1}$. [4] Hence solve the following inequalities, (ii) $frac{left| x right|}{1-16{{x}^{4}}}le frac{left| x right|}{4{{x}^{2}}+1}$, [2] (iii) $frac{sin

Timothy Gan
19th June 2024

2022 RI P1 Q1 (i) On the same axes, sketch the graphs of $y=frac{x}{x-a}$ and $y=2left| x-a right|+1$, where $a$ is a positive constant. [3] (ii) Hence solve the inequality

Timothy Gan
12th June 2024

2009 AJC Promo Q4 Solve the inequality $2<left| 2-ax right|le 4$, where $a$ is a positive constant. Hence, solve the inequality $2<left| 2left( 1+a right)-ax right|le 4$. Suggested Video and Handwritten

Timothy Gan
11th April 2024

TJC Inequalities Tutorial Q10 (i) A wooden artwork is designed to take the form of a right pyramid with square base of sides $2x$m and fixed volume $frac{4}{3}$m$^{3}$. All its