List of top Mathematics Questions on Inequalities asked in CUET (UG)

Which of the following properties are not correct for three real numbers a, b and c?

A. If \(a > b\) and \(b > c\), then \(a < c\)
B. If \(a > b\), and \(c < 0\), then \(ac < bc\)
C. If \(a > b\), and \(c < 0\), then \(a \div c < b \div c\)
D. If \(a > b\) and \(c > 0\), then \(a \div c < b \div c\)

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Which of the following inequalities holds true?
(A) \(\sqrt{5} + \sqrt{3}>\sqrt{6} + \sqrt{2}\)
(B) If \(a>b\) and \(c<0\), then \(\frac{a}{c}<\frac{b}{c}\)
(C) \(\frac{1}{x^2}>\frac{1}{x}>1\), if \(0<x<1\)
(D) If a and b are positive integers and \(\frac{a-b}{6.25} = \frac{4}{2.5}\) then \(b>a\)
Choose the correct answer from the options given below:

Which of the following inequalities holds true?
(A) \(\sqrt{5} + \sqrt{3}>\sqrt{6} + \sqrt{2}\)
(B) If \(a>b\) and \(c<0\), then \(\frac{a}{c}<\frac{b}{c}\)
(C) \(\frac{1}{x^2}>\frac{1}{x}>1\), if \(0<x<1\)
(D) If a and b are positive integers and \(\frac{a-b}{6.25} = \frac{4}{2.5}\) then \(b>a\)
Choose the correct answer from the options given below:

The solution region of the inequality \( 2x + 4y \leq 9 \) is: