How to prepare for Quantitative Aptitude for the CAT>Chapter 21 - Inequalities>Level of Difficulty>Q 95

EASY

CAT

IMPORTANT

Earn 100

Solve the following irrational inequality:

$\frac{\sqrt{x - 3}}{x - 2} > 0$

100% studentsanswered this correctly

Important Questions on Inequalities

EASY

CAT

IMPORTANT

How to prepare for Quantitative Aptitude for the CAT>Chapter 21 - Inequalities>Level of Difficulty>Q 96

If

x

satisfies the inequality

|x - 1| + |x - 2| + |x - 3| \geq 6

, then:

EASY

CAT

IMPORTANT

How to prepare for Quantitative Aptitude for the CAT>Chapter 21 - Inequalities>Level of Difficulty>Q 103

f (x) = \frac{x}{2 x^{2} + 5 x + 8}

for all

x > 0

, what is the greatest value of

f (x)

?

MEDIUM

CAT

IMPORTANT

How to prepare for Quantitative Aptitude for the CAT>Chapter 21 - Inequalities>Level of Difficulty>Q 104

The Shaded portion of which of the following options represents

y \geq x^{2}, y \leq 3

EASY

CAT

IMPORTANT

How to prepare for Quantitative Aptitude for the CAT>Chapter 21 - Inequalities>Level of Difficulty>Q 105

Find the range of values of

x

for which

x^{4} + 8 x < 8 x^{3} + x^{2}

.

EASY

CAT

IMPORTANT

How to prepare for Quantitative Aptitude for the CAT>Chapter 21 - Inequalities>Level of Difficulty>Q 106

If

\frac{45}{25 x^{14} - 8 x^{7} + 1} \leq p

, then what will be the minimum value of

p

?

EASY

CAT

IMPORTANT

How to prepare for Quantitative Aptitude for the CAT>Chapter 21 - Inequalities>Level of Difficulty>Q 107

If

0 \leq x \leq 13

for how many integer values of

x, 7^{x - 1} + 11^{x - 1} > 170

.

EASY

CAT

IMPORTANT

How to prepare for Quantitative Aptitude for the CAT>Chapter 21 - Inequalities>Level of Difficulty>Q 108

If

f (x) = m i n (3 x + 4, 6 - 2 x)

and

f (x) < p

, where

p

is an integer then the minimum possible value of

p =

?

MEDIUM

CAT

IMPORTANT

How to prepare for Quantitative Aptitude for the CAT>Chapter 21 - Inequalities>Level of Difficulty>Q 109

For how many non-negative integer values of '

x

' is

|||||||x - 1| - 2| - 3| - 4| - 5| - 6| - 7| < 9

?