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question_answer1)
Which of the following set does not satisfy \[\left| x-3 \right|>4\]?
A)
\[(-\infty ,-1)\] done
clear
B)
\[(7,-\infty )\] done
clear
C)
\[(-1,7)\] done
clear
D)
none of these done
clear
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question_answer2)
Which values of x satisfy the following inequalities simultaneously? (i) \[-3<2x-1<19\] (ii) \[-1\le \frac{2x+3}{5}\le 3\]
A)
\[\left[ -4,10 \right)\] done
clear
B)
\[\left( -1,\,6 \right]\] done
clear
C)
\[\left[ -1,\,6 \right)\] done
clear
D)
\[\left( -1,\,6 \right)\] done
clear
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question_answer3)
If \[-9<x\le 6\] then \[\left| x \right|\in \]
A)
\[\left[ 6,\,9 \right)\] done
clear
B)
\[\left[ 0,\,6 \right]\] done
clear
C)
\[\left[ 0,\,9 \right)\] done
clear
D)
none of these done
clear
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question_answer4)
The inequality \[\frac{2}{x}<3\]is true, when x belongs to
A)
\[\left[ 2/3,\,\infty \right)\] done
clear
B)
\[(-\infty ,\,2/3]\] done
clear
C)
\[(2/3,\,\infty )\cup (-\infty ,\,0)\] done
clear
D)
None of these done
clear
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question_answer5)
Complete solution set of \[\left| x-2 \right|<3\]is
A)
\[x<5\] done
clear
B)
\[x>0\] done
clear
C)
\[-1<x<5\] done
clear
D)
\[1<x<5\] done
clear
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question_answer6)
Which of the following is not true?
A)
if \[-2<x\,\,then\,\,\left| x \right|\ge 0\] done
clear
B)
if \[x\le 3\] then \[\left| x \right|\ge 0\] done
clear
C)
if \[-3<x\le 4\] then \[\left| x \right|\in [0,4]\] done
clear
D)
none of these done
clear
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question_answer7)
If \[\left| x-2 \right|\le 1\], then
A)
\[x\in \,\left[ 1,3 \right]\] done
clear
B)
\[x\in \,(1,3)\] done
clear
C)
\[x\in \,\left[ -1,3 \right)\] done
clear
D)
\[x\in \,(-1,3)\] done
clear
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question_answer8)
If \[x+y\le 2,x\ge 0,y\ge 0\]then the point at which maximum value of \[3x+2y\]is attained will be
A)
(0, 0) done
clear
B)
\[\left( \frac{1}{2},\frac{1}{2} \right)\] done
clear
C)
(0, 2) done
clear
D)
(2, 0) done
clear
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question_answer9)
Solution of \[\frac{x-7}{x+3}>2\]is
A)
\[(-3,\,\infty )\] done
clear
B)
\[(-\infty ,\,-13)\] done
clear
C)
(-13, -3) done
clear
D)
None of these done
clear
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question_answer10)
The values of x which satisfy the inequalities simultaneously (i) \[-3<2x-1<19\] (ii) \[-1\le \frac{2x+3}{5}\le 3\]
A)
\[\left[ -4,\,10 \right)\] done
clear
B)
\[\left( -1,\,6 \right]\] done
clear
C)
\[\left[ -1,\,6 \right)\] done
clear
D)
\[(-1,\,6)\] done
clear
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question_answer11)
Which interval does the following number line represent?
A)
(1, 1) done
clear
B)
(-2, 3) done
clear
C)
\[\left( -1,\,4 \right]\] done
clear
D)
\[\left( -\infty ,\,-1 \right)\] done
clear
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question_answer12)
The set of values of x which satisfy the inequations\[5x+2<3x+8\]and \[\frac{x+2}{x-1}<4\]is
A)
\[(-\infty ,\,1)\] done
clear
B)
(2, 3) done
clear
C)
\[(-\infty ,\,3)\] done
clear
D)
\[(-\infty ,\,1)\cup (2,3)\] done
clear
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question_answer13)
Which of the following is not the solution of \[\left| x \right|-3|>1\]?
A)
\[-2<x<2\] done
clear
B)
\[x<-4\] done
clear
C)
\[x>4\] done
clear
D)
None of these done
clear
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question_answer14)
For the inequality \[\frac{x}{3}+\frac{x}{2}<5\], the interval is
A)
\[(-\infty ,\,6)\] done
clear
B)
\[(-\infty ,\,6]\] done
clear
C)
\[[-\infty ,\,6)\] done
clear
D)
\[[-\infty ,\,6]\] done
clear
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question_answer15)
The solution set of \[\frac{5x+8}{4-x}\le 2\]is
A)
\[(4,\,\infty )\cup \left( -\infty ,\,0 \right]\] done
clear
B)
\[[4,\,\infty ]\cup \left( -\infty ,\,4 \right]\] done
clear
C)
\[\left( -\infty ,\,0 \right]\cup (4,\,\infty )\] done
clear
D)
\[[4,\,\infty ]\cup \left( -\infty ,\,0 \right]\] done
clear
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question_answer16)
The system \[2(2x+3)-10<6(x-2)\] and \[\frac{2x-3}{4}+\ge \frac{2+4x}{3}\] has
A)
infinite done
clear
B)
two solutions done
clear
C)
three sollutionns done
clear
D)
no solutions done
clear
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question_answer17)
Solution set of the inequality \[4x-3\ge 3x-4\]is
A)
(-1, 0) done
clear
B)
(1, \[\infty \]) done
clear
C)
\[\left( -\infty ,\,0 \right]\] done
clear
D)
\[\left[ -1,\,\infty \right)\] done
clear
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question_answer18)
Solution set of the inequality \[6\le -3(2x-5)<12\]is
A)
\[(0,\,3/2)\] done
clear
B)
\[\left( 1/2,\,3/2 \right]\] done
clear
C)
\[\left[ 1/2,\,3/2 \right)\] done
clear
D)
\[\left[ 0,\,1/2 \right)\] done
clear
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question_answer19)
Solution set of the following inequalities is \[2(x-1)<x+5,3(x+2)>2-x\]
A)
\[(-1,\,7)\] done
clear
B)
\[(1,\,7)\] done
clear
C)
\[(-1,\,\infty )\] done
clear
D)
\[(-\infty ,\,7)\] done
clear
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question_answer20)
Inequality \[y-x\le 0\]represents
A)
the half plane that contains the positive x-axis done
clear
B)
closed half plane above the line y=x which contains positive y-axis done
clear
C)
half plane that contains negative x-axis done
clear
D)
none of these done
clear
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question_answer21)
If the solution set of \[\left| x-k \right|<2\]is a subset of the solution set of the inequality\[\frac{2x-1}{x+2}<1\], then the number of possible integral value (s) of k is/are___.
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question_answer22)
The number \[N=6{{\log }_{10}}2+{{\log }_{10}}31\], lies between two successive integers whose sum is equal to ________.
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question_answer23)
Number of integers satisfying \[{{\log }_{x}}\frac{4x=5}{6-5x}<-1\]is____.
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question_answer24)
Bimal wants to invest Rs. 15,000 in saving certificates and national saving bonds. Minimum amount to be invested in saving certificate and national savaging bonds are respectively Rs. 2000 and Rs. 2500. The interest rate is 8% on saving certificate and 10% on national saving bonds per annum. If the invests RS. X in saving certificate and Rs. Y in national saving bonds, then the equation for the interest earned is \[kx+Ly\]. Then value of \[K+L\] is _________.
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question_answer25)
Let a, b, c, d be real numbers such that \[\left| a-b \right|=2,\left| b-c \right|=3,\left| c-d \right|=4\]. Then the sum of all possible values of \[\left| a-d \right|\] is _______.
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