Répondre:
r <27
Explication étape par étape:
Compte tenu de l'inégalité 5r + 9> 10r - 126
Nous devons trouver l'ensemble de solutions
5r + 9> 10r - 126
Ajouter 126 des deux côtés
5r + 9 + 126> 10r - 126 + 126
5r + 135> 10r
5r-10r> -135
-5r> -135
Divisez les deux côtés par -5 (notez que le signe changera)
-5r / -6 <-135 / -5
r <27
Par conséquent, les ensembles de solutions sont des valeurs inférieures à 27
The distance could be calculated as follows:
d =
![\sqrt{ (5-2)^{2} + (-4-3)^2} }](https://tex.z-dn.net/?f=%20%5Csqrt%7B%20%285-2%29%5E%7B2%7D%20%20%2B%20%20%28-4-3%29%5E2%7D%20%20%7D)
d =
![\sqrt{ 3^{2} + (-7)^{2}](https://tex.z-dn.net/?f=%20%5Csqrt%7B%203%5E%7B2%7D%20%2B%20%28-7%29%5E%7B2%7D%20)
d =
The length of bd =32,98
Use Pythagorus
NightowlIt can be proven that between any two real numbers there exists a rational number. Therefore there exists a rational number r such that
<span>7.7+<span>2–√</span><r<7.9+<span>2–√</span></span>By calculator we can find a rational number r that satisfies these condition, I choose 9.2. Now subtract square root 2.<span>7.7<9.2−<span>2–√</span><7.9
</span>so the answer is between 7.7 and 7.9
rational number : 7.8
<span>irrational number : 9.2 - √2</span>