List of top Mathematics Questions on linear inequalities asked in BITSAT

Consider \(\dfrac{x}{2}+\dfrac{y}{4}\ge1\) and \(\dfrac{x}{3}+\dfrac{y}{2}\le1,\; x,y\ge0\). Then number of possible solutions are
A shopkeeper wants to purchase two articles A and B of cost price \( 4 \) and \( 3 \) respectively. He thought that he may earn 30 paise by selling article A and 10 paise by selling article B. He has not to purchase total articles worth more than \( 24 \). If he purchases the number of articles of A and B, \( x \) and \( y \) respectively, then linear constraints are
The set of all real \( x \) satisfying the inequality \[ \frac{3 - |x|}{4 - |x|} \geq 0 \] is
If \( x \) satisfies \( |3x-2| + |3x-4| \geq |3x-6| \), then
Which of the following is not a vertex of the positive region bounded by the inequalities 2x + 3y ≤ 6, 3x + 3y ≤ 15 and x, y ≥ 0?
The letters of the word TOUGH are written in all possible orders and the words are written out as in a dictionary. Then the rank of the word TOUGH is: