Recent questions tagged inequalities

The number of integers $n$ that satisfy the inequalities $ |n – 60| < |n – 100| < |n – 20|$ is$18$$19$$21$$20$

Let $\text{m}$ and $\text{n}$ be natural numbers such that $\text{n}$ is even and $0.2 < \frac{m}{20}, \frac{n}{m}, \frac{n}{11} < 0 \cdot 5.$ Then $m – 2n$ equals $3$$4$...

Given that $-3<x \leq – \dfrac{1}{2}$ and $\dfrac{1}{2} < y \leq 7$, which of the following statements is true? $\max (x+y)(x-y)] – \min[(x+y)(x-y)]=57 \dfrac{1}{2}$$\max...

Find the complete set of values that satisfy the relations $\mid \mid x\mid-3\mid< 2$ and $\mid \mid x\mid-2\mid< 3$.$(-5,5)$$(-5,-1)\cup(1,5)$$(1,5)$$(-1,1)$

$x$ 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?$x^2y$$xy^2$$5xy$None o...

If $x 5$ and $y < −1,$ then which of the following statements is true?$(x + 4y) 1$$x − 4y$$−4x < 5y$None of these

If $x 2$ and $y – 1,$ Then which of the following statements is necessarily true?$xy –2$$–x < 2y$$xy < –2$$–x 2y$

Given that $-1 \leq v \leq 1, -2 \leq u \leq -0.5 \text{ and } -2 \leq z \leq -0.5 \text{ and } w=\frac{vz}{u}$ then which of the following is necessarily true?$-0.5 \leq...