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For what range of values of 'x', will be the inequality $$15x - \left(\frac{2}{x}\right) > 1$$?
We have
$$15x-\frac{2}{x}>1$$
Multiple by x on both sides considering x>0
⇒ $$15x^2-2>x$$
⇒$$15x^2-x-2>0$$
⇒$$15x^2-6x+5x-2>0$$
⇒ (3x+1)(5x-2)>0
we get x>2/5 or x<-1/3 but this is not considered as we have taken x>0
If x<0 the sign of inequality will reverse, and for it to be satisfied we will get the values of x between -1/3<x<0
Hence, the answer is Option D
Yes, inequalities is an important topic in the Quantitative, Data Interpretation & Data Sufficiency section of SNAP. A strong understanding of inequality concepts can help candidates solve algebra-based questions quickly and accurately.
SNAP does not have a fixed number of inequality questions every year. However, inequalities form an important part of the algebra syllabus, and candidates may encounter direct or concept-based questions from this topic.
SNAP may include questions on linear inequalities, quadratic inequalities, modulus inequalities, and inequality-based algebraic expressions. These questions typically test conceptual understanding and application of algebraic principles.
Start by learning the fundamental properties of inequalities, interval notation, and sign analysis techniques. Practice a variety of inequality problems, including previous year questions and SNAP mock tests, to improve speed and accuracy.
The difficulty level of inequalities questions in SNAP is generally easy to moderate. However, some questions may require combining inequalities with other algebra concepts. Consistent practice can make these questions easier to solve.
Cracku's SNAP Inequalities Questions are designed according to the latest SNAP exam pattern and difficulty level. They provide topic-wise practice questions, detailed solutions, shortcut methods, and performance analysis to help aspirants strengthen their concepts and improve their scores.
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