TÌM X
\(\frac{15}{41}\)+ \(\frac{-138}{41}\)< hoặc bẳng X < \(\frac{1}{2}\)+ \(\frac{1}{3}\)+ \(\frac{1}{6}\)
tìm x
\(\frac{15}{41}+\frac{-138}{41}\le x< \frac{1}{2}+\frac{1}{3}+\frac{1}{6}\)
Bài làm
\(\frac{15}{41}+\frac{-138}{41}\le x< \frac{1}{2}+\frac{1}{3}+\frac{1}{6}\)
\(\frac{123}{41}\le x< 1\)
\(\frac{123}{41}\le x< \frac{41}{41}\)
\(\Rightarrow123\le x< 41\)
\(\Rightarrow x\in\varnothing\)
=> -123 / 41 < hoặc = x < 1
=> -3 < hoặc = x <1
=>x = ( -3 ; -2 ; -1 ; 0 )
\(\frac{15}{41}+\frac{-138}{41}\le x< \frac{1}{2}+\frac{1}{3}+\frac{1}{6}\)
\(\frac{15}{41}+\frac{-138}{41}\le x< \frac{1}{2}+\frac{1}{3}+\frac{1}{6}\)
\(\Leftrightarrow-3\le x< 1\)
\(\Leftrightarrow x\in\left\{-3;-2;-1;0\right\}\)
\(\frac{15}{41}+\frac{-138}{41}\le x< \frac{1}{2}+\frac{1}{3}+\frac{1}{6}\)
\(\Rightarrow\frac{15+(-138)}{41}\le x< \frac{1\cdot3}{6}+\frac{1\cdot2}{6}+\frac{1}{6}\)
\(\Rightarrow\frac{-123}{41}\le x< \frac{3}{6}+\frac{2}{6}+\frac{1}{6}\)
\(\Rightarrow-3\le x< 1\Leftrightarrow x\in\left\{-3;-2;-1;0\right\}\)
\(\frac{15}{41}+\frac{-138}{41}\le x< \frac{1}{2}+\frac{1}{3}+\frac{1}{6}\)
\(\Rightarrow-3\le x< 1\)
\(\Rightarrow x\in\left\{-3;-2;-1;0\right\}\)
\(a,\frac{-5}{14}-\frac{37}{14}\le x
Tớ đố các cậu tìm được x của các câu trên (với điều kiện x thuộc Z)
a)\(\frac{15}{41}+\frac{-138}{41}< x< \frac{1}{2}+\frac{1}{3}+\frac{1}{6}\)
b)\(\frac{x}{5}=\frac{15}{2}-\frac{51}{10}\)
c)\(\frac{2x}{3}-\frac{1}{9}=\frac{59}{36}+\frac{1}{4}\)
d)\(\frac{11}{5}x=\frac{32}{15}-x\)
e)\(\frac{x}{2}=\frac{8}{x}\)
f)\(\frac{x-5}{3}=\frac{34}{15}-\frac{-2}{5}\)
Chúc các cậu hoàn thành tốt bài trên.
\(\frac{15}{41}+\frac{-138}{41}< x< \frac{1}{2}+\frac{1}{3}+\frac{1}{6}\)
\(\Leftrightarrow\frac{-123}{41}< x< \frac{1.3+1.2+1}{6}\)
\(\Leftrightarrow-3< x< 1\)
\(\Rightarrow x\in\left\{-2;-1;0\right\}\)
\(\frac{x}{5}=\frac{15}{2}-\frac{51}{10}\)
\(\frac{x}{5}=\frac{15.5-51}{10}\)
\(\frac{x}{5}=\frac{24}{10}\)
\(\frac{x}{5}=\frac{12}{5}\)
\(x=12\)
\(\frac{2x}{3}-\frac{1}{9}=\frac{59}{36}+\frac{1}{4}\)
\(\frac{2x}{3}-\frac{1}{9}=\frac{59+9}{36}\)
\(\frac{2x}{3}-\frac{1}{9}=\frac{68}{36}\)
\(\frac{2x}{3}=\frac{68}{36}+\frac{1}{9}\)
\(\frac{2x}{3}=\frac{68}{36}+\frac{4}{36}\)
\(\frac{2x}{3}=2\)
\(\Rightarrow2x=6\)
\(\Rightarrow x=3\)
tìm tập hợp các số nguyên x mà x thuộc z biết 15/41 + -138/41<x< 1/2+1/3+1/6
Bài 1:
\(a,\frac{-5}{14}-\frac{37}{14}\le x
\(\frac{-150.\left(1352-41\right)}{\left(1352-41\right)\left(150-15\right)}< x< \frac{2400:48-250}{350-3600:12}\)
tìm x thuộc Z
tìm x biết \(\dfrac{-15}{41}+\dfrac{-138}{41}\le x\le\dfrac{1}{2}+\dfrac{1}{3}+\dfrac{1}{6}\)
\(\Leftrightarrow\dfrac{-153}{41}< =x< =1\)
mà x là số nguyên
nên \(x\in\left\{-3;-2;-1;0;1\right\}\)
--\(\frac{41}{32}.\left(\frac{15}{8}-\frac{16}{41}\right)+\frac{15}{8}.\left(\frac{41}{32}.\frac{8}{3}\right)\)
-42/32.(15/8-16/41)+15/8.(41/32.8/3)
=-42/32.487/328+15/8.41/12
=-10227/5248+205/32
=23393/5248