Which number line represents the solution set for the inequality -4(x + 3) s-2-2x?
04
.
-7 -6 -5 -4 -3 -2 -1 0
1
2
3
4
5
6
7
+
+
+
+ + + + + + + +
-7 -6 -5 -4 -3 -2 -1 0
1
2
3
4
5
6
7
>
-7 -6 -5 -4 -3 -2 -1
0
>
-7 -6
+ +
-5 -4 -3 -2 -1
0
1
2
3
4
5
6
7

1

Step-by-step explanation:

1

x^2 + 81

we can factor this using difference of square binomials.

rewrite the equation:

x^2 - (-81)

factor:

(a^2 - b^2) = (√a^2 + √b^2)(√a^2 - √b^2)

(x^2 - (-81) = (x + √-81)(x - √-81)

we can remove the - from under the radical by multiplying it by i.

(x^2 - (-81) = (x + i√81)(x - i√81)

(x^2 - (-81) = (x + 9i)(x - 9i)

we can check our answer by using foil:

x^2 - 9ix + 9ix - 81i^2

x^2 - 81^2

i^2 = -1

x^2 + 81