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16 Jul 2018, 21:07
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C
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
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79% (01:28) correct
21%
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based on 533
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Which of the following could be the graph of all values of x that satisfy the inequality \(2 - 5x \leq -\frac{(6x - 5)}{3}\) ?
Quant.jpg [ 13.54 KiB | Viewed 9067 times ]
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Quant.jpg [ 13.54 KiB | Viewed 9067 times ]
16 Jul 2018, 22:44
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Bunuel
Option A, B, and D have the point x=0 in common.
At x=0, we have LHS=2, RHS=5/3, so the given inequality is not valid.
So, option A,B, and D are eliminated.
Between C & E, E possesses negative value of x.
At x=-2, LHS=12 and RHS=17/3; so the given inequality is not valid. Option E is eliminated.
Ans. (C)
P.S:- By solving the inequality, we have \(x\geq{\frac{1}{9}}\). Straightaway option (C).
17 Jul 2018, 00:09
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Bunuel
OA:C
\(2 - 5x \leq -\frac{(6x - 5)}{3}\)
Multilpying both sides by -1, we get
\(5x-2≥ \frac{{6x-5}}{3}\)
Multiplying both sides by 3 , we get
\(15x-6≥6x-5\)
Adding -6x+6 on both sides,
\(9x≥1\)
Dividing by 9 on both sides
\(x≥\frac{1}{9}\)
Only C satisifies this condition
