Recent questions tagged linear-inequalities

IQ of a person is given by the formula $IQ= \large\frac{MA}{CA} $$ \times 100$ Where MA is a mental age and CA is chronological age. If $80 \leq IQ \leq 140$ for a group of 12 years old children find the range of their mental age .

asked Aug 5, 2014 by meena.p

1 answer

How many liters of water will have to be added to $1125$ liters of the $45\%$ solution of acid so that the resulting mixture will contain more than $25 \%$ but less than $30\%$ acid content ?

asked Aug 5, 2014 by meena.p

1 answer

A solution of $ 8 \%$ basic acid is to be diluted by adding $ 2 \%$ boic acid. Solution to it. The resulting mixture is to be more than $4 \%$ but less than $6 \%$ boric acid. If we have 640 litres of $8^{\circ} \%$ Solution , how many litres of $2 \%$ solution is to be added ?

asked Aug 5, 2014 by meena.p

1 answer

A solution is to be kept between $68^{\circ} F$ and $ 77^{\circ} F$ . What is the range in to temperature in degree ceisius (C) if the ceisius (C) if the ceisius / Fahrenheit (F) conversion. formula is given by $F= \large\frac{9}{8} $$c +32?$

asked Aug 5, 2014 by meena.p

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Solve the inequalities and represent the solution graphically on number line. $ 5(2x-7) - 3(2x+3) \leq 0 ; 2x+19 \geq 6x+47 $

asked Aug 5, 2014 by meena.p

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Solve the inequalities and represent the solution graphically on number line. $ 3x-7 > 2(x-6) ; 6-x > 11-2x $

asked Aug 5, 2014 by meena.p

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Solve the inequalities and represent the solution graphically on number line. $ 2(x-1) < x+5 ; 3(x+2) > 2-x $

asked Aug 4, 2014 by meena.p

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Solve the inequality and represent the solution graphically on number line . $5x + 1 > -24; 5x -1 < 24$

asked Aug 4, 2014 by meena.p

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Solve the inequality $7 \;\leq \large\frac{3x+11}{2} $$ \leq 2$

asked Aug 4, 2014 by meena.p

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Solve the inequality $7 \leq \large\frac{(3x+11)}{2} \leq 11$

asked Aug 1, 2014 by meena.p

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Solve the inequality $-12 <4 <- \large\frac{3x}{-5} \leq 2$

asked Aug 1, 2014 by meena.p

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Solve the inequality $-15 < \large\frac{3(x-2)}{5} \leq 0$

asked Aug 1, 2014 by meena.p

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Solve the inequality $-3 \leq 4 - \large\frac{7x}{2} $$ \leq 18$

asked Aug 1, 2014 by meena.p

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Solve the inequality $ 6 \leq -3( 2x-4) < 12$

asked Aug 1, 2014 by meena.p

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Solve the inequality : $ 2 \leq 3x-4 \leq 5$

asked Aug 1, 2014 by meena.p

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Solve the system of inequalities graphically $x+2y \leq 10 ; x+y \geq 1 ; x -y \leq 0 ; x \leq 0 , y\leq 0 $

asked Aug 1, 2014 by meena.p

1 answer

Solve the following system of inequalities graphically $3x+2y \leq 150; x +4y \leq 80 ; x \leq 15 ; y \geq 0, x \geq 0 $

asked Aug 1, 2014 by meena.p

1 answer

Solve the system of inequalities graphically $4x+3y \leq 60 ; y \geq 2x; x \geq 3 ; x,y \geq 0 $

asked Jul 31, 2014 by meena.p

1 answer

Solve the system of inequalities graphically $x-2y \leq 3; 3x +4y \geq 12 ; x \geq 0 ; y \geq 1$

asked Jul 31, 2014 by meena.p

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Solve the system of linear inequalities graphically $2x +y \geq 4; x+y \leq 3; 2x-3y \leq 6$

asked Jul 31, 2014 by meena.p

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Solve the following system of inequalities graphically $3x+4y \leq 60; x+3y \leq 30 ; x \geq 0 ;y \geq 0$

asked Jul 31, 2014 by meena.p

1 answer

Solve the following system of inequalities graphically : $5x+4y \leq 20; x \geq 1; y \geq 2$

asked Jul 31, 2014 by meena.p

1 answer

Solve the system of inequalities : $x+y \leq 9; y > x;x \geq 0$

asked Jul 31, 2014 by meena.p

1 answer

Solve the following system of inequalities graphically $2x+y \geq 8; x+2y \geq 10$

asked Jul 31, 2014 by meena.p

1 answer

Solve the system of inequalities graphically $x +y \leq 5;x+y \geq 4$

asked Jul 31, 2014 by meena.p

1 answer

Solve the following system of equation graphically. $2x-y >1;x -2y <-1$

asked Jul 31, 2014 by meena.p

1 answer

Solve the following system of inequalities graphically $x+y \geq 4 ; 2x -y > 0$

asked Jul 30, 2014 by meena.p

1 answer

Solve the following system of inequalities graphically $2x +y \geq 6; 3x +4y \leq 12$

asked Jul 30, 2014 by meena.p

1 answer

Solve the system of inequalities graphically $3x +2y \leq 12 ; x \geq 1;y \geq 2$

asked Jul 30, 2014 by meena.p

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Solve the following system of inequalities graphically $ x \geq 3, y \geq 2$

asked Jul 30, 2014 by meena.p

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Solve the given inequality graphically in two, dimensional plane . $ x > -3$

asked Jul 30, 2014 by meena.p

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Solve the given inequality graphically in two - dimensional plane . $ y < -2$

asked Jul 30, 2014 by meena.p

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Solve the inequalities graphically in two - dimensional plane . $3y-5x < 30$

asked Jul 30, 2014 by meena.p

1 answer

Solve the given inequality graphically in two -dimensional plane. $-3x+2y \geq -6$

asked Jul 30, 2014 by meena.p

1 answer

Solve the given inequality graphically in two dimensional plane . $2x -3y > 6$

asked Jul 30, 2014 by meena.p

1 answer

Solve the given inequality graphically in two dimensional plane. $x-y \leq 2$

asked Jul 30, 2014 by meena.p

1 answer

Solve the given inequality in two - dimensional plane $y+8 \geq 2x$

asked Jul 29, 2014 by meena.p

1 answer

Solve the given inequality graphically in two- dimensional plane $3x+4y \leq 12$

asked Jul 29, 2014 by meena.p

1 answer

Solve the given inequality graphically in two- dimension. $2x +y \geq 6$

asked Jul 28, 2014 by meena.p

1 answer

Solve the given inequality in two-dimensional plane . $x+y < 5$

asked Jul 28, 2014 by meena.p

1 answer

A man wants to cut three length from a single piece of board of length 91 cm . The second length is to be 3 cm longer than the shortest , and third length is to be twice as long as shortest. What are the possible lengths of the shortest board, if the third piece is to be at least 5 cm longer than the second.

asked Jul 28, 2014 by meena.p

1 answer

The longest side of a triangle is three times the shortest side and third side is $2\;cm$ shortest than the longest side. If the perimeter of the triangle is at least $61\; cm$ find the minimum length of the shortest side.

asked Jul 28, 2014 by meena.p

1 answer

Find all pair of consecutive even positive integers, both of the which are larger than 5 such that their sum is less than 23.

asked Jul 28, 2014 by meena.p

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Find all pairs of consecutive odd positive integers both of which are smaller than 10 such that their sum is more than 11.

asked Jul 28, 2014 by meena.p

1 answer

To receive Grade $'A'$ in a course, one must obtain an average of $90$ marks or more in fine. examination (each of $100$ marks ) . If sunita's mark in first four examinations are $87,92,94 $ and $95$ find the minimum marks that sunita must obtains in the fifth examination to get grade $'A'$ in the corse

asked Jul 28, 2014 by meena.p

1 answer

Ravi obtained 70 and 75 marks in first two unit tests. Find the minimum marks he should get in third test to have an average of at least 60 marks.

asked Jul 28, 2014 by meena.p

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Solve the given inequality and show the graph of the solution on number line: $ \large\frac{x}{2} <\frac{(5x-2)}{3} - \frac{(7x-3)}{5}$

asked Jul 28, 2014 by meena.p

1 answer

Solve the given inequality and show the graph of the solution on number line: $ 3(1-x) <2 (x +4)$

asked Jul 28, 2014 by meena.p

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Solve the given inequality and show the graph of the solution on number line: $ 5x-3 < 3x -5$

asked Jul 28, 2014 by meena.p

1 answer

Solve the given inequality and show the graph of the solution on number line: $ 3x-2 <2 x +1$

asked Jul 26, 2014 by meena.p

1 answer

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