Solving Inequalities

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1. CSCA Math December 2025 Past Paper
   Given $a>b$, which statement is true?
   • A．$5a>5b$
   • B．$\frac{1}{a}<\frac{1}{b}$
   • C．$a^2>b^2$
   • D．$\sin a>\sin b$
   Lihat jawaban & pembahasan

   Jawaban: A

   Answer: A Multiplying both sides of $a>b$ by the positive number 5 preserves the inequality, so $5a>5b$. Choose A.
   Lihat di CSCA Math December 2025 Past Paper lengkap
2. CSCA Math January 2026 Past Paper
   Let $a , b , c$ be three real numbers. Which of the following statements is correct? ( )
   • A．If $a > b$, then $a c > b c$
   • B．If $a > b$, then $a + c > b + c$
   • C．If $a c > b c$, then $a > b$
   • D．If $a > b$, then $a ^ { 2 } > b ^ { 2 }$
   Lihat jawaban & pembahasan

   Jawaban: B

   Which inequality property is correct? If $\mathrm { a } > \mathrm { b }$, adding the same number c to both sides preserves the inequality: $\mathrm { a } + \mathrm { c } > \mathrm { b } + \mathrm { c }$.
   Kerjakan CSCA Math January 2026 Past Paper lengkap — berwaktu & dinilai
3. CSCA Math March 2026 Past Paper
   Given $\mathrm { a } > \mathrm { b }$, which of the following must be true?
   • A．$a ^ { 3 } > b ^ { 3 }$
   • B．$| \mathrm { a } | > | \mathrm { b } |$
   • C．$a ^ { 2 } > b ^ { 2 }$
   • D．$| \mathrm { a } | < | \mathrm { b } |$
   Lihat jawaban & pembahasan

   Jawaban: A

   $y = x ^ { 3 }$ is strictly increasing on $\mathbb { R }$. If $a > b$ then $a ^ { 3 } > b ^ { 3 }$. Options B, C, D can be disproved by counterexamples.
   Kerjakan CSCA Math March 2026 Past Paper lengkap — berwaktu & dinilai