4 − (x + 2) < −3(x + 4)

x<-7

Step-by-step explanation:

4 − (x + 2) < −3(x + 4)

4 − x - 2< −3x - 12

14 < - 2x

x<-7

Answer and Step-by-step explanation:

First, we need to solve both sides of the equation.

Distribute the negative to the x and the 2.

4 - x - 2 < -3(x + 4)

Distribute the -3 to the x and the 4.

4 - x - 2 < -3x - 12

Combine like terms.

2 - x < -3x - 12

Add 12 to both sides of the equation.

12 + 2 - x < -3x - 12 + 12

14 - x < -3x

Add x to both sides of the equation.

14 - x + x < -3x + x

14 < -2x

*Divide both sides of the equation by -2, and flip the sign.

-7 > x

-7 > x is the answer.

*How this works:

When we flip the sign, we really are just saving ourselves an extra step when dividing numbers (that are negative, only works when number is negative).

14 < -2x

If we were to add to x, and subtract 14, it will look like this:

2x < -14

Then when we divide by 2, we get:

x < -7

This is the same result, but it takes an extra step. Use this way if you forget why you need to flip the sign when dividing by a negative number.

#teamtrees #PAW (Plant And Water)

I hope this helps!

the length of o'p' is .

step-by-step explanation:

it is given that the quadrilateral m'n'o'p' is the image of quadrilateral mnop after dilation.

the center of dilation is origin and the scale factor is 1.5.

in dilation the image and preimge are similar figures. it means the sides of image and preimage are proportional.

the scale factor is defined as

the scale factor is 1.5.

multiply both sides by op.

note: if the value of op is given, then multiply the value of op with 1.5 to get the length of side o'p'.

therefore length of o'p' is .

step-by-step explanation: