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(3/5)^x+3∙(3/5)^(x-1)≥33/5-(3/5)^(x+1) inequation

A inequation with variable

The solution

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   x        x - 1    33      x + 1
3/5  + 3*3/5      >= -- - 3/5     
                     5            
$$\left(\frac{3}{5}\right)^{x} + 3 \left(\frac{3}{5}\right)^{x - 1} \geq \frac{33}{5} - \left(\frac{3}{5}\right)^{x + 1}$$
(3/5)^x + 3*(3/5)^(x - 1) >= 33/5 - (3/5)^(x + 1)
Solving inequality on a graph
Rapid solution 2 [src]
(-oo, 0]
$$x\ in\ \left(-\infty, 0\right]$$
x in Interval(-oo, 0)
Rapid solution [src]
x <= 0
$$x \leq 0$$
x <= 0