Quadratic Inequalities GCSE MATHS

x² + 6x + 8 < 0 pls help the online methods are so hard

tysm ppl

Hey guys so i tried to factorise and got

(x+2)(x+4) <0
x <-2, x < -4

How would I plot this on a graph or inequality line?

EG of equality line

_____________________
1 2 3 4 5 6 7 8 9 10

Sorry if this doesn't make sense

Hey guys so i tried to factorise and got

(x+2)(x+4) <0
x <-2, x < -4

How would I plot this on a graph or inequality line?

EG of equality line

_____________________
1 2 3 4 5 6 7 8 9 10

Sorry if this doesn't make sense

That's not the way I'd tackle it.
consider x² + 6x + 8 = 0
(x + 2)( x + 4) = 0

x = -2 or -4

Sketch the curv and we want the x values which give the curve below the x-axis -4 < x < -2 not sure where you got your inequalities ...

Do you know how to show this on the number line?

You've made an error here (but not in the factorising). Try drawing a graph of the equation (ie draw y = x^2 + 6x + 8) - you're looking for any areas where y < 0 (since the quadratic is less than 0).

For the question about the numberline:


Hopefully the above image might help you a bit. But try the graph trick first and see where that lands you.

tysm for replying, i think that image will rlly help someone else said about the graph too, imma try that.

You need the graph to find the inequalities then use the number line with open circles on the -4 and -2 and a line joining them.