Solve 7x + 1 < 4(x - 2). {x | x < 3} {x | x > 3} {x | x > -3} {x | x < -3}

Hello there!

Step-by-step explanation:

Distributive property: a(b+c)=ab+ac

First, you expand.

4(x-2)=4x-8

7x+1<4x-8

Subtract by 1 both sides of an equation.

7x+1-1<4x-8-1

Add/Subtract numbers from left/right.

8+1=9

7x<4x-9

Then, you subtract by 4x both sides of an equation.

7x-4x<4x-9-4x

Simplify equation.

3x<-9

Divide by 3 both sides of an equation.

3x/3<-9/3

Divide numbers from left/right.

-9/3=-3

x<-3 is the final answer.

Hope this helps!

Thanks!

-Charlie

Have a nice day! :)

:D

for the friend request.

when a figure, such as triangle (xyz) is reflected over the line y = x to create x'y'z' the x-coordinates and y-coordinates of the original image (pre-image) will be reversed for the image. (e.g., (x, y) > (y, x)) this means that the pre-image position of the x- and y-coordinates switch places which in turn provides a mirror like image of the original xyz.  

i notice that when i draw a line segment from x to x', that the points are parallel from each other -- they are exactly across from each other and do not intersect with any other points.  

yes, think i would see the same characteristic if you drew the line segment connecting y with the reflecting line and then y' with the reflecting line because of the essence of reflections. because it is a mirror image, each point was effected the same way which leads me to conclude that they same would apply to y and y'.

nlgqer

step-by-step