Question

solve and graph on a number line : |2x + 4| > 14

I already solved for the 2 solutions: 5 and - 9. But I don't know which direction to put them on a number line.

Answer 1

@campbell_st

Answer 2

well simply pick a value and substitute it...

you said the values are 5 and -9

so pick a value between them... say x = 1

substitute it...

is |2 *1 + 4| > 14..?

Answer 3

im confused, im not trying to solve the equation just put the 2 solutions I have on a number line...

Answer 4

i'm trying to show you a method that allows the number line arrows to be correct...

so

|2*1 + 4| > 14 its false

so it means the interval between -9 and 5 isn't in the solution space... does that make sense...?

Answer 5

so my solutions are wrong? because in my options those are the only solutions possible

Answer 6

so pick a number larger that 5... say 10 then check

is

|2*10 + 4| >14 ?

and pick a number less that -9 say -10

is

|2*(-10) + 4| > 14 ?


if there are both true you have the solutions for the number line


x > 5

x < -9

Answer 7

oh ok, I get it now. thank you

Answer 8

your solutions are correct.... they are the smallest values you can use....you need numbers larger than 5 and numbers less than - 9