Question

How can I understand $a−c>b−d \iff a - b > c - d$ without algebra?

score 102 · Answer 1 · 2026-03-25 19:59:01

102

Views

How can I understand $a−c>b−d \iff a - b > c - d$ without algebra?

Published on 25 Mar 2026 - 19:59

score 50 · Answer 2 · 2026-03-25 00:07:40

50

Views

can we preserve correctness of inequality after adjusting all involved exponents?

Published on 25 Mar 2026 - 0:07

score 45 · Answer 3 · 2018-07-12 11:03:31

45

Views

Proving an inequality.

Published on 12 Jul 2018 - 11:03

score 54 · Answer 4 · 2026-04-01 05:07:58

54

Views

The sum of powers of $2$ that are less than or equal to $n$ is less than $2n$.

Published on 01 Apr 2026 - 5:07

score 57 · Answer 5 · 2018-07-12 17:32:22

57

Views

Showing that $x_{11}x_{22}-x_{12}x_{21}>0$ given $x_{11}>x_{21}$ and $x_{12}>x_{22}$.

Published on 12 Jul 2018 - 17:32

score 1.3k · Answer 6 · 2026-04-01 06:29:49

1.3k

Views

Why does taking logs of base $0 < b < 1$ for exponential inequalities flip the inequality?

Published on 01 Apr 2026 - 6:29

score 96 · Answer 7 · 2026-04-01 06:33:29

96

Views

Prove $\ln(n) \lt n$ using only $\log(x^y) = y\log(x) $

Published on 01 Apr 2026 - 6:33

score 137 · Answer 8 · 2026-04-01 05:25:09

137

Views

Solve $\begin{cases} y<x\\ -(x-y)^2\leq 4 (1-y-x+xy) \end{cases} $

Published on 01 Apr 2026 - 5:25

score 71 · Answer 9 · 2018-07-13 12:31:23

71

Views

Is there a rule for taking any function of both parts of an equation or an inequality?

Published on 13 Jul 2018 - 12:31

score 39 · Answer 10 · 2018-07-13 13:21:23

39

Views

Factorization Manipulation

Published on 13 Jul 2018 - 13:21

score 78 · Answer 11 · 2026-03-27 02:21:02

78

Views

An inequality between functions

Published on 27 Mar 2026 - 2:21

score 334 · Answer 12 · 2018-07-13 19:17:52

334

Views

Prove $ \min \left(a+b+\frac1a+\frac1b \right) = 3\sqrt{2}\:$ given $a^2+b^2=1$

Published on 13 Jul 2018 - 19:17

score 76 · Answer 13 · 2026-03-27 14:50:26

76

Views

Integration of tail probabilities

Published on 27 Mar 2026 - 14:50

score 244 · Answer 14 · 2026-03-25 23:38:28

244

Views

Intermediate inequalities; is there a way to know if you're getting a "bad deal"?

Published on 25 Mar 2026 - 23:38

score 522 · Answer 15 · 2026-03-30 16:41:43

522

Views

Condition for two functions to never intersect

Published on 30 Mar 2026 - 16:41

List Question

How can I understand $a−c>b−d \iff a - b > c - d$ without algebra?

can we preserve correctness of inequality after adjusting all involved exponents?

Proving an inequality.

The sum of powers of $2$ that are less than or equal to $n$ is less than $2n$.

Showing that $x_{11}x_{22}-x_{12}x_{21}>0$ given $x_{11}>x_{21}$ and $x_{12}>x_{22}$.

Why does taking logs of base $0 < b < 1$ for exponential inequalities flip the inequality?

Prove $\ln(n) \lt n$ using only $\log(x^y) = y\log(x) $

Solve $\begin{cases} y<x\\ -(x-y)^2\leq 4 (1-y-x+xy) \end{cases} $

Is there a rule for taking any function of both parts of an equation or an inequality?

Factorization Manipulation

An inequality between functions

Prove $ \min \left(a+b+\frac1a+\frac1b \right) = 3\sqrt{2}\:$ given $a^2+b^2=1$

Integration of tail probabilities

Intermediate inequalities; is there a way to know if you're getting a "bad deal"?

Condition for two functions to never intersect

Trending Questions

Popular # Hahtags

Popular Questions