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Mathematics
Inequality and geometric application
If \[x\] is a negative integer,then find the solution set of the inequality
\[ \dfrac{2}{3} + \dfrac{1}{3}(x + 1) > 0\]
Mathematics
Inequality and geometric application
How do you solve $\left| -10x-5 \right|=0$?
Mathematics
Inequality and geometric application
How do you rewrite the inequality $\left| {11 - 2x} \right| \geqslant 13$ as a compounded inequality?
Mathematics
Inequality and geometric application
How do you solve two step inequalities?
Mathematic
Inequality and geometric application
How to solve the inequality \[\dfrac{-x}{7}+4\ge 3x\] ?
Mathematics
Inequality and geometric application
How do you graph and solve $\left| {4x + 8} \right| \geqslant 20$?
Mathematics
Inequality and geometric application
How do you solve \[5x\ge 30\] ?
Mathematics
Inequality and geometric application
Consider the sentence : $
  x < 5 \\
    \\
  $
Which of the following integers make this open sentence true?
A. 4
B. 5
C. 6
D. None of the above
Mathematics
Inequality and geometric application
A manufacturing company makes two types of teaching aids A and B of mathematics for class XII. Each type of A requires 9 labour hours of fabricating and 1 labour hour for finishing. Each type of B requires 12 labour hours for fabricating and 3 labour hours for finishing. For fabricating and finishing, the maximum labour hours per week are 180 and 30 respectively. The company makes a profit of 80 on each piece of type A and 120 on each piece of type B. How many pieces of type A and type B should be manufactured per week to get a maximum profit? Make it as an LPP and solve graphically. What is the maximum profit per week?

Mathematics
Inequality and geometric application
For a > b > c > 0, the distance between (1, 1) and the point of intersection of the line ax + by + c = 0 and bx + ay + c = 0 is less than $2\sqrt 2 $, then
(A). a + b – c > 0
(B). a – b + c < 0
(C). a – b + c > 0
(D). a + b – c < 0
Mathematics
Inequality and geometric application
Given\[ED = EC,\]
Then \[AB + AD > BC\]
If the above statement is true, then mention answer as 1, else mention 0 if it is false


Mathematics
Inequality and geometric application
A farmer has 10 acres of land to plant wheat and rye. He has to plant at least 7 acres. Each acre of wheat costs ${$}$200 and each acre of rye costs ${$}$100 to plant. He has only ${$}$1200 to spend. Moreover, the farmer has to get the planting done in 12 hours and it takes 1 hour to plant an acre of wheat and 2 hours to plant an acre of rye. An acre of wheat yields a profit of ${$}$500 and an acre of rye yields a profit of ${$}$300.
(Take x and y as the acres of wheat and rye planted respectively). What is the maximum profit that the farmer can make?
A. ${$}$2500
B. ${$}$2800
C. ${$}$3100
D. ${$}$3200

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