CTR A=10/27+9/16+11/34<2 Question CTR A=10/27+9/16+11/34<2 in progress 0 Môn Toán Ngọc Diệp 9 months 2021-04-23T14:19:13+00:00 2021-04-23T14:19:13+00:00 2 Answers 13 views 0
Answers ( )
Ta có: `A=` $\dfrac{10}{27}$ `+` $\dfrac{9}{16}$ `+` $\dfrac{11}{34}$
Vì $\dfrac{10}{27}$ `<` $\dfrac{13,5}{27}$ ⇒ $\dfrac{10}{27}$ `<` $\dfrac{1}{2}$
$\dfrac{9}{16}$ `<` $\dfrac{16}{16}$ ⇒ $\dfrac{10}{27}$ `<` `1`
$\dfrac{11}{34}$ `<` $\dfrac{17}{34}$ ⇒ $\dfrac{11}{34}$ `<` $\dfrac{1}{2}$
`⇒` $\dfrac{10}{27}$ `+` $\dfrac{9}{16}$ `+` $\dfrac{11}{34}$ `<` $\dfrac{1}{2}$ + `<` $\dfrac{1}{2}$ `+ 1`
`⇒` $\dfrac{10}{27}$ `+` $\dfrac{9}{16}$ `+` $\dfrac{11}{34}$ `<` `2`
Vậy `A < 2`.
Đáp án:
Giải thích các bước giải:
` A = 10/27 + 9/16 + 11/34 < 2 `
` A = 403/432 + 11/34 < 2 `
` A = 1,25 < 2 `
`\text{Vì 1,25 < 2 } `
` \text{⇒ A < 2 } `