How many positive integer values can x take that satisfy the inequality (x - 8) (x - 10) (x - 12).......(x - 100) < 0?
Solve the inequality: x3 – 5x2 + 8x – 4 > 0.
Find the range of x for which (x + 2) (x + 5) > 40.
How many integer values of x satisfy the inequality x( x + 2)(x + 4)(x + 6) < 200.
Find the range of x where ||x - 3| - 4| > 3.
The sum of three distinct natural numbers is 25. What is the maximum value of their product?
If x (x + 3) (x + 5) (x + 8) < 250, how many integer values can x take?
(|x| - 2) (x + 5) < 0. What is the range of values x can take?
a and b are roots of the equation x2 - px + 12 = 0. If the difference between the roots is at least 12, what is the range of values p can take?
If a, b, c are distinct positive integers, what is the highest value a × b × c can take if a + b + c = 31?
a, b, c are distinct natural numbers less than 25. What is the maximum possible value of |a – b| + |b – c| – |c – a|?
Consider integers p, q such that – 3 < p < 4, – 8 < q < 7, what is the maximum possible value of p2 + pq + q2?
For how many integer values does the following inequality hold good? (x + 2) (x + 4) (x + 6)........(x + 100) < 0.
If a, b, c are integers such that – 50 < a, b, c < 50 and a + b + c = 30, what is the maximum possible value of abc?
Solve x2 - |x + 3| + x > 0
Find range of f(x) = x2 – 6x + 14
Consider three distinct positive integers a, b, c all less than 100. If |a - b| + |b - c| = |c – a|, what is the maximum value possible for b?
Consider integers m, n such that -5 < m < 4 and -3 < n < 6. What is the maximum possible value of m2 - mn + n2?
Consider integers p, q, r such that |p| < |q| < |r| < 40. P + q + r = 20. What is the maximum possible value of pqr?
What is the minimum value of f(x) = x2 – 5x + 41?
x4 – 4x3 + ax2 – bx = 1 = 0 has positive real roots. What is the maximum possible value of a + b?
|x3 – 3x + 5| > -4. What range of x satisfies this?
What are the maximum and minimum possible values for