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a) \(5x-20\le0\\ \Leftrightarrow5x\le20\\ \Leftrightarrow x\le\frac{20}{5}\\ \Leftrightarrow x\le4\)
b)\(3x+7>-7x+2\\ \Leftrightarrow3x+7x>2-7\\ \Leftrightarrow10x>-5\\ \Leftrightarrow x>-\frac{5}{10}\\ \Leftrightarrow x>-\frac{1}{2}\)
c)\(-9x-5< 4x+21\\ \Leftrightarrow-9x-4x< 21+5\\ \Leftrightarrow-13x< 26\\ \Leftrightarrow x>\frac{-26}{13}\\ \Leftrightarrow x>-2\)
d) 3(2x-5) >8x-13
<=> 6x -15> 8x-13
<=> 6x-8x>-13+15
<=>-2x>2
<=> x< -2/2
<=>x<-1
e) \( 2(3x-5) ≥ 5(2x+6)\\ \Leftrightarrow6x-10\ge10x+30\\ \Leftrightarrow6x-10x\ge30+10\\ \Leftrightarrow-4x\ge40\\ \Leftrightarrow x\le-\frac{40}{4}\\ \Leftrightarrow x\le-10\)
f) \(\frac{2x-3}{4}\le\frac{3x+1}{6}\\ \Leftrightarrow\frac{3.\left(2x-3\right)}{12}\le\frac{2.\left(3x+1\right)}{12}\\ \Leftrightarrow6x-9\le6x+2\\ \Leftrightarrow6x-6x\le2+9\\ \Leftrightarrow0x\le11\)
=>Luôn đúng => Bpt vô số nghiệm
h. Ta có : \(2x+3\left(x-3\right)\ge10x-\left(3x+2\right)\)
=> \(2x+3x-9\ge10x-3x-2\)
=> \(2x+3x-9-10x+3x+2\ge0\)
=> \(-2x-7\ge0\)
=> \(x\ge-\frac{7}{2}\)
\(a,2x-6< 0\Leftrightarrow2x>6\Leftrightarrow x>3\)
\(b,5x+2x< 4+25\Leftrightarrow7x< 29\Leftrightarrow x< \frac{29}{7}\)
\(c,-5x+6>8-10+8x\Leftrightarrow-5x-8x>8-10-6\)
\(-13x>-8\Leftrightarrow x< \frac{8}{13}\)
\(d,3x-12\le2-4x\Leftrightarrow3x+4x\le2+12\)
\(\Leftrightarrow7x\le14\Leftrightarrow x\le2\)
\(e,\frac{3\left(x-3\right)}{6}>\frac{2\left(2x-5\right)}{6}+\frac{6}{6}\Rightarrow3x-9>4x-10+6\)
\(\Leftrightarrow3x-4x>-4+9\Leftrightarrow x>-5\)
\(f,3\left(2x-3\right)>1+2\left(2+2x\right)\Leftrightarrow6x-9>1+4+4x\)
\(6x-4x>14\Leftrightarrow2x>14\Leftrightarrow x>7\)
Tự biểu diễn nha!
Mẫu cho mấy bài rồi tự làm nha
a) \(2x+2>4\)
\(\Leftrightarrow2x>2\)
\(\Leftrightarrow x>1\)
b) \(3x+2>-5\)
\(\Leftrightarrow3x>-7\)
\(\Leftrightarrow x>-\dfrac{7}{3}\)
c) \(10-2x>2\)
\(\Leftrightarrow-2x>2-10\)
\(\Leftrightarrow-2x>-8\)
\(\Leftrightarrow x< 4\)
3 câu cuối tương tự mà làm
a) 2x + 2 > 4
<=> 2x > 2
<=> x > 1
\(S=\left\{x|x>1\right\}\)
b) 3x + 2 > -5
<=> 3x > -7
<=> x > \(-\dfrac{7}{3}\)
\(S=\left\{x|x>-\dfrac{7}{3}\right\}\)
c) 10 - 2x > 2
<=> -2x > -8
<=> x < 4
\(S=\left\{x|x< 4\right\}\)
d) 1 - 2x < 3
<=> -2x < 2
<=> x > -1
\(S=\left\{x|x>-1\right\}\)
e) 10x + 3 - 5x \(\le\) 14x + 12
<=> 10x - 14x - 5x \(\le\) 12 - 3
<=> -9x \(\le\) 9
<=> \(x\ge-1\)
\(S=\left\{x|x\ge-1\right\}\)
f) 3x - 1 < 2x + 4
<=> 3x - 2x < 4 + 1
<=> x < 5
\(S=\left\{x|x< 5\right\}\)
1. \(2x< -6\Leftrightarrow x< \dfrac{-6}{2}\Leftrightarrow x< -3\)
2. \(x-3>0\Leftrightarrow x>0+3\Leftrightarrow x>3\)
3. \(x+4>2x+3\Leftrightarrow4-3>2x-x\Leftrightarrow x< 1\)
4. \(-3x\le0\Leftrightarrow x\ge0\cdot\left(-\dfrac{1}{3}\right)\Leftrightarrow x\ge0\)