Question

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

Answer 1

Answer:

$x \geq -4$

Step-by-step explanation:

The given inequality is

$-x(4-6) \geq -8$

To solve this inequality, we just have to isolate $x$

$-x(-2) \geq -8$

$2x\geq -8\\x\geq \frac{-8}{2}\\ x\geq -4$

Therefore, the solutions for this inequality is $x \geq -4$.

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

Answer 2

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