Question

a)Solve the inequality 3x ≤ 7 - x

b)Show your answer to part a on a number line.

Many thanks

Answer 1

get all the x's on one side of the inequality

Answer 2

How do I do that?

(I probably sound really dumb right now..)

Answer 3

how do we get rid of the -x on the right side of the equation?

Answer 4

what's the opposite of negative?

Answer 5

positive....

Answer 6

that's right, so you would add an x

Answer 7

To the left side of the equation...

Answer 8

but remember, what you do to one side of the equation you have to do to the other side

Answer 9

so i'd add an x to the right side too?

Answer 10

yes but that will cancel out with the -x

Answer 11

oh i see
then it will be 0...so the x is gone

Answer 12

Do you understand that?

Answer 13

How does 3x become 4x? if you add an x to something that already has an x do you just add a 1?

Answer 14

yes

Answer 15

so now we have 4x<7. what do we do to the 4 to get x by itself?

Answer 16

-4?

Answer 17

4x is the same as 4 times x. what is the opposite of multiplication?

Answer 18

OH I SEE

YOU DIVIDE IT BY................4?

Answer 19

that's right

Answer 20

what we do to one side we do to the other. So what does the equation look like now?

Answer 21

x<1.75?

Answer 22

that's right, good job

Answer 23

so if x is less than or equal to 1.75, what does that look like on a number line?

Answer 24

ok ima draw this give me a few mins

Answer 25

kk