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Alevel maths modulus question

Can someone please explain why, for part B) of the qs how to work out the point of intersection as the mark scheme shows
2x+3| = 1/4x+2
Which is confusing as the equation is |2x+3|-4
So wouldn’t it be |2x+3|-4=1/4x+2
(edited 4 years ago)
Reply 1
Original post by Jessica_rica
Can someone please explain why, for part B, the method to work out the points of intersection of Y=|2x+3|-4 and y= -x/4+2 doesn’t include the -4 to Y=|2x+3|-4


Not sure which method it is, but for the absolute value you'd consider the regions where x <= -3/2 and x>=-3/2. In these regions, Y becomes
y = -2x -7
y = 2x - 1
Then proceed to find the (up to) two crossing points with the other line.
Not sure what you mean. Which method have you used?

Tend to find that equating and at some point squaring both sides, solving the inexorable quadratic and checking solutions for consistency with the original sim equations leads to the required solution(s).
Original post by mqb2766
Not sure which method it is, but for the absolute value you'd consider the regions where x <= -3/2 and x>=-3/2. In these regions, Y becomes
y = -2x -7
y = 2x - 1
Then proceed to find the (up to) two crossing points with the other line.

Sorry I completely fo got about this qs, but yeah I did that but the mark scheme ignores the -4 in the equation f(x) so it’s just
|2x+3|=-1/4x+2
And then
-2x-3=-1/4x+2
Which I don’t get but gives the points of intersection
Why does part b) of this question equate the equations as
|2x+3|=1/4x+2
And not
|2x+3|-4 = 1/4x+2
Original post by Jessica_rica
Why does part b) of this question equate the equations as
|2x+3|=1/4x+2
And not
|2x+3|-4 = 1/4x+2


Should be 2x+34=14x+2|2x+3| - 4 = -\dfrac{1}{4}x + 2 to get x=6,1.2x=-6,1.2
For part b) of this qs why does the mark scheme equate the equations as
|2x+3|=1/4x+2
And not
|2x+3|-4=1/4x+2
When trying to find the spine of intersction
Original post by RDKGames
Should be 2x+34=14x+2|2x+3| - 4 = -\dfrac{1}{4}x + 2 to get x=6,1.2x=-6,1.2

This is what the mark scheme says
Original post by Jessica_rica
This is what the mark scheme says


Yes it's wrong.

The question should've asked for intersection between y=2x+34y=|2x+3| - 4 and y=14x2y=-\dfrac{1}{4}x - 2 in order for the mark scheme to make sense.
Original post by RDKGames
Yes it's wrong.

The question should've asked for intersection between y=2x+34y=|2x+3| - 4 and y=14x2y=-\dfrac{1}{4}x - 2 in order for the mark scheme to make sense.

Thank you! Yeah it didn’t make sense

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