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

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:

Match List I with List II

LIST I		LIST II
A.	The solution set of the inequality \(5x-8\gt2x+3,x\in R\ is,\)	I.	\((-\infin,\frac{6}{5}]\)
B.	The solution set of the inequality \(3x-4\lt5x+7,x\in R\ is,\)	II.	\((\frac{6}{5},\infin)\)
C.	The solution set of the inequality \(4x+15\le3(1-2x)is,\)	III.	\([10,\infin)\)
D.	The solution set of the inequality \(7x-8\ge2(1+3x)is,\)	IV.	\((-\frac{11}{2},\infin)\)

Choose the correct answer from the options given below:

The region represented by the system of inequalities x, y≥0, y≤8, x + y≤4 is:

If \( \frac {2-x}{4}-\frac{4+x}{6}\geq10 \) then :

The solution set of inequalities :
x + 3 ≤ 0 and 2x + 5 ≤ 0; if x ∈ R is :

The graph of the inequality 3x - 2y > 6 is

If \( 8 + 3x < |8 + 3x|, x \in \mathbb{R} \), then \( x \) lies in :