Solve the inequality.

x + 12 < 8 − 3x

A) x < 1
B) x < 2
C) x < −1
D) x < −2

x <-1

Step-by-step explanation:

x + 12 < 8 − 3x

Add 3x to each side

x+3x + 12 < 8 − 3x+3x

4x+12 < 8

Subtract 12 from each side

4x+12-12 <8-12

4x<-4

Divide each side by 4

4x/4 <-4/4

x <-1

7.9m and 4.3°

step-by-step explanation:

let east be +x and north be +y, x = distance * cos θ, y = distance * sin θ  

for 3.5 south, y = -3.5  

for 8.2, x = 8.2 * cos 30 and y = 8.2 * sin 30  

for 15 west, x = -15  

total x = 8.2 * cos 30 – 15 ≈ -7.9  

total y = -3.5 + 8.2 * sin 30 = 0.6  

magnitude = [(8.2 * cos 30 – 15)^2 + 0.6^2)]^0.5  

the magnitude is approximately 7.9 m  

tan θ = y/x = 0.6/-7.9  

the angle is approximately 4.3˚ north of west

is there supposed to be a picture here?