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 < –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 2

`x \geq -4`

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 (-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.