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(8-x)/(x-10)≤2/2-x inequation

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8 - x          
------ <= 1 - x
x - 10

$$\frac{8 - x}{x - 10} \leq 1 - x$$

(8 - x)/(x - 10) <= 1 - x

Solving inequality on a graph

Rapid solution [src]

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Or\And\x <= 6 - 3*\/ 2 , -oo < x/, And\x <= 6 + 3*\/ 2 , 10 < x//

$$\left(x \leq 6 - 3 \sqrt{2} \wedge -\infty < x\right) \vee \left(x \leq 3 \sqrt{2} + 6 \wedge 10 < x\right)$$

((-oo < x)∧(x <= 6 - 3*sqrt(2)))∨((10 < x)∧(x <= 6 + 3*sqrt(2)))

Rapid solution 2 [src]

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(-oo, 6 - 3*\/ 2 ] U (10, 6 + 3*\/ 2 ]

$$x\ in\ \left(-\infty, 6 - 3 \sqrt{2}\right] \cup \left(10, 3 \sqrt{2} + 6\right]$$

x in Union(Interval(-oo, 6 - 3*sqrt(2)), Interval.Lopen(10, 3*sqrt(2) + 6))