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Recent questions tagged inequalities

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GATE Mechanical 2023 | GA | Question: 7
Consider the following inequalities$$\begin{aligned}& p^2-4 q<4 \\& 3 p+2 q<6\end{aligned}$$where $p$ and $q$ are positive integers.The value of $(p+q)$ is __________.$2$...
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GATE Mechanical 2022 Set 2 | GA | Question: 2
Which one of the following is a representation (not to scale and in bold) of all values of $x$ satisfying the inequality $2 - 5x \leq - \dfrac{6x - 5}{3}$ on the real num...
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GATE Mechanical 2015 Set 2 | GA | Question: 5
If $x>y>1$ Which of the following must be true?$\ln x>\ln y$$e^x>e^y$$y^x>x^y$$\cos x>\cos y$(i) and (ii)(i) and (iii)(iii) and (iv)(ii) and (iv)
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GATE Mechanical 2014 Set 3 | GA | Question: 5
In which of the following options will the expression $P < M$ be definitely true?$M < R P S$$M S < P < F$$Q < M < F = P$$P = A < R < M$
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