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Solve and graph the inequality. −x4−6≥−8 {"version":"1.1","math":"-x4-6≥-8"} Question 6 options: x ≤ 8 x < –4 x > 8 x ≥ –8

Respuesta :

Answer: x < –4

The question is a bit ambiguous since x4 can be interpreted as x^4. Since there was no option for −x^4−6≥−8 ,  I will solve the question assuming that the original question was −x(4−6)≥−8 


−x(4−6)≥−8 
−x(-2)≥−8 
2x≥−8 
x≥−4 

Answer:

[tex]x \geq -4[/tex]

Step-by-step explanation:

The given inequality is

[tex]-x(4-6) \geq -8[/tex]

To solve this inequality, we just have to isolate [tex]x[/tex]

[tex]-x(-2) \geq -8[/tex]

[tex]2x\geq -8\\x\geq \frac{-8}{2}\\ x\geq -4[/tex]

Therefore, the solutions for this inequality is [tex]x \geq -4[/tex].

If we graph this inequality, the solution would be like the image attached.

Ver imagen jajumonac

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