Practice questions
88551 published questions with worked solutions.
- The set of all real x satisfying the inequality
- If r is a real number such that |r| < 1 and if a = 5(1 - r), then
- Solution set of inequality _e x-2 x-3 is
- The set of values of x satisfying 2 |x - 3| < 4 is
- If 9x^2 + 6x + 1 < (2 - x), then
- The set of admissible values of x such that 2x+3 2x-9 < 0 is
- If x^2 + 2ax + 10 - 3a > 0 for all x R, then
- The solution set contained in R of the inequation 3^x + 3^ 1-x - 4 < 0, is
- The minimum value of f(x) = |3 - x| + 7 is
- If (x^3 + y^3) - _ 10 (x^2 + y^2 - xy) 2, then the maximum value of xy, for all x 0, y 0 is
- If x^2 + 4ax + 2 > 0 for all values of x, then a lies in the interval
- The set of all x satisfying the inequality 4x-1 3x+1 1 is
- The solution set of the inequation x+11 x-3 > 0 is
- Number of integer solutions of x+2 x^2+1 > 1 2 is
- If a, b, c > 0, the minimum value of a b+c + b c+a + c a+b is
- For |x-1| x+2 < 1, x lies in the interval
- If x^2 + 2x + n > 10 for all real numbers x, then which of the following conditions is true?
- If a, b, c > 0 and if abc = 1, then the value of a + b + c + ab + bc + ca lies in the interval
- Let x = [ a+2b a+b ] and y = a b , where a and b are positive integers. If y^2 > 2, then
- The set of values of x for which the inequalities x^2 - 3x - 10 < 0, 10x - x^2 - 16 > 0 hold simultaneously, is