Equations And Inequations Ques 150
I. $2 x^{2}+3 x-20=0$
II. $2 y^{2}+19 y+44=0$
Directions : In each of the following questions, two equations are given. You have to solve these equations and give answer If
(1) $x<y$
(2) $x>y$
(3) $x=y$
(4) $x \geq y$
(5) $x \leq y$
(IBPS Bank PO/MT CWE-III 26.10 .2013 )
Show Answer
Correct Answer: (4)
Solution: (4) I. $2 x^{2}+3 x-20=0$
$\Rightarrow 2 x^{2}+8 x-5 x-20=0$
$\Rightarrow 2 x(x+4)-5(x+4)=0$
$\Rightarrow(x+4)(2 x-5)=0$
$\Rightarrow x=-4$ or $\frac{5}{2}$
II. $2 y^{2}+19 y+44=0$
$\Rightarrow 2 y^{2}+11 y+8 y+44=0$
$\Rightarrow y(2 y+11)+4(2 y+11)=0$
$\Rightarrow(y+4)(2 y+11)=0$
$\Rightarrow y=-4$ or $-\frac{11}{2}$
Clearly, $x \geq y$
BETA
