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. 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.  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

Question 6: Option 1.

Question 7: Option 1.

Step-by-step explanation:

Question 6: The given inequality is

Add 6 on both sides.

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.

Therefore, the correct option is 1.

Question 7: The given inequality is

Subtract 4.5 from both sides.

Divide both sides by 2.2.

It can be rewritten as

Therefore, the correct option is 1.