Which number line represents the solution set for the inequality -4(x + 3) 5-2-2x?

Mathematics

1 answer:

Salsk061 [2.6K]3 years ago

8 0

Answer:

Step-by-step explanation:

Consider the smaller than sign as smaller or equal to sign as I couldn,t type the sign

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

Expand the bracket

-4x-12<-2-2x

Add 2x to both sides

-2x-12<-2

Add 12 to both sides

-2x<10

add 2x to both sides

0<10+2x

minus 10 on both sides

-10<2x

SImplify

-5<x

X is larger or equal to -5 which means the option A

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olga2289 [7]

Answer: D

Step-by-step explanation:

You need a calculator for this cause the numbers are really large. I used a fx-9860GII Casio calculator. I put the equations on the graph mode. And then I got the x➡️0 for both equations.

I got x=0, y=5000 for the first equation

x=0, y=5200 for the new one.

You can see the y is (5200-5000)=200 more than the old equation. As the x is 0 for both that means the new one moved 200 up for the new one. It goes up cause its positive number .

I put the pictures so you can understand what I'm saying.