Inequality

If x > 5 and y < –1, then which of the following statements is true?

x and y are real numbers satisfying the conditions 2 < x < 3 and – 8 < y < –7. Which of the following expressions will have the least value?

A real number x satisfying for every positive integer n, is best described by

If 13x + 1 < 2z and z + 3 = 5y², then

If | b | ≥ 1 and x = − | a | b , then which one of the following is necessarily true?

For how many integers n, will the inequality (n – 5) (n – 10) – 3(n – 2) ≤ 0 be satisfied?

Let f(x) = 2x – 5 and g(x) = 7 – 2x. Then |f(x) + g(x)|
= |f(x)| + |g(x)| if and only if

The smallest integer n such that n³ - 11n² + 32n - 28 > 0 is

If a and b are integers such that 2x² −ax + 2 > 0 and x² −bx + 8 ≥ 0 for all real numbers x, then the largest possible value of 2a−6b is

If x and y are non-negative integers such that x + 9 = z, y + 1 = z and x + y < z + 5, then the maximum possible value of 2x + y equals

The number of integers n that satisfy the inequalities |n – 60| < |n – 100| < |n – 20| is