Question

How do we solve -3(x)+6<-9 and graph it?

Answer 1

First you need to simplify it

Answer 2

So I got x<5

Answer 3

But like how does this happen : x<5 or -5<x ?

Answer 4

so you reduce it to -3x < -15, then divide by -3. When you divide or multiply by a negative number, the inequality sign flips.

For example -1*3 = -3 < 5, but if you divide both sides by -1 you get 3 on the left and -5 on the right, and so the inequality flips.

Now to graph it, you include in the graph all possible values of x. Which in this case, means all numbers that fit > 5.

Answer 5

-3x<-15
it would actually be
x>5
because a negative divided by a negative becomes a positive and when you divide by a negative you are supposed to flip the inverse sign

Answer 6

And what bout this one 5(x-3)-8>2

Answer 7

how far are you into it?

Answer 8

Well I got x>5

Answer 9

so 5(x-3) > 10, x - 3 > 2, x > 5. that seems solid

Answer 10

But my teacher said the right answer is 1<x<5 and I don't know why

Answer 11

so if you plug in a 2 there (which is in the range your teacher describes),

you get 5(2-3) - 8 = 5(-1) -8 = -5 -8 = -13 which is not greater than 2.

Answer 12

Are you sure you're being asked to solve for x?

Answer 13

or that all the signs are right?

Answer 14

It just says that we should graph and answer to make the equation true

Answer 15

What does graphing involve for you guys?