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 Save Question 7 (5 points) Question 7 Unsaved Solve and graph the inequality. 6.7 ≥−0.2x + 4.5 {"version":"1.1","math":"6.7 ≥-0.2x + 4.5"} Question 7 options: x≥−11 {"version":"1.1","math":"x≥-11"} x≥−56 {"version":"1.1","math":"x≥-56"} x<−11 {"version":"1.1","math":"x<-11"} x < −56 {"version":"1.1","math":"x < -56"}

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 ---> multiply x with -2 2x≥−8 ----> divide by 2x≥−4
2. Answer: x≥ -11
To solve inequality using > or < sign, you must be careful because multiplying the inequality with -1 will cause the sign to change direction(< will become > or vice versa). In this case, will solve the question without multiplying it with -1

6.7 ≥−0.2x + 4.5 ----> move -0.2x to left, 6.7 to right
0.2x ≥ 4.5 - 6.7
0.2x ≥ -2.2
x≥ -11

erinna erinna · Answer 2 · 2019-11-20T10:26:32+01:00

Answer:

Question 6: Option 1.

Question 7: Option 1.

Step-by-step explanation:

Question 6: The given inequality is

[tex]-\frac{x}{4}-6\geq -8[/tex]

Add 6 on both sides.

[tex]-\frac{x}{4}-6+6\geq -8+6[/tex]

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

Multiply both sides by -4. If we multiply or divide an inequality by a negative number, then we need to change the sign of inequality.

[tex]-\frac{x}{4}\times (-4)\leq -2\times (-4)[/tex]

[tex]x\leq 8[/tex]

Therefore, the correct option is 1.

Question 7: The given inequality is

[tex]6.7\geq -0.2x+4.5[/tex]

Subtract 4.5 from both sides.

[tex]6.7-4.5\geq -0.2x+4.5-4.5[/tex]

[tex]2.2\geq -0.2x[/tex]

Divide both sides by 2.2.

[tex]-11\leq x[/tex]

It can be rewritten as

[tex]x\geq -11[/tex]

Therefore, the correct option is 1.