How do solve $3/(x+1)<=3$ graphically?

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Answer 1 · 2018-05-25T16:04:11

The solution is $x in (-oo, -1) uu[0, +oo)$

Plot the curve

$f(x)=3/(x+1)-3$

The function is undefined for $x=-1$

graph{3/(x+1)-3 [-18.02, 18.03, -9.01, 9.01]}

Then, look where $f(x)<=0$

The solution is $x in (-oo, -1) uu[0, +oo)$

How do solve 3/(x+1)<=33/(x+1)<=3 graphically?