1.
\(-5x+3\ge0\)
\(\Leftrightarrow-5x\ge-3\)
\(\Rightarrow x\le\dfrac{3}{5}\)
2.
\(3x-5>2x+1\)
\(\Leftrightarrow3x-2x>1+5\)
\(\Rightarrow x>6\)
3.
\(8x+4\ge3x+19\)
\(\Leftrightarrow8x-3x\ge19-4\)
\(\Leftrightarrow5x\ge15\)
\(\Rightarrow x\ge3\)
4.
\(3x-8\ge5x\)
\(\Leftrightarrow3x-5x\ge8\)
\(\Leftrightarrow-2x\ge8\)
\(\Rightarrow x\le-4\)
1)
`-5x+3≥0`
`<=>-5x≥-3`
`<=>-5x*(-1)/5≤3*(-1)/5`
`<=>x≤3/5`
2)
`3x-5>2x+1`
`<=>3x-2x>1+5`
`<=>x>6`
3)
`8x+4≥3x+19`
`<=>8x-3x≥19-4`
`<=>5x≥15`
`<=>5x*1/5≥15*1/5`
`<=>x≥3`
4)
`3x-8≥5x`
`<=>3x-5x≥8`
`<=>-2x≥8`
`<=>-2x*(-1)/2≤8*(-1)/2`
`<=>x≤-4`
\(1,-5x+3\ge0\)
\(\Leftrightarrow-5x\ge-3\)
\(\Leftrightarrow x\le\dfrac{3}{5}\)
\(2,3x-5>2x+1\)
\(\Leftrightarrow3x-2x>1+5\)
\(\Leftrightarrow x>6\)
\(3,8x+4\ge3x+19\)
\(\Leftrightarrow8x-3x\ge19-4\)
\(\Leftrightarrow5x\ge15\)
\(\Leftrightarrow x\ge3\)
\(4,3x-8\ge5x\)
\(\Leftrightarrow3x-5x\ge8\)
\(\Leftrightarrow-2x\ge8\)
\(\Leftrightarrow x\le-4\)