|2x-3| + 1 = 6
1) |2x-3| + 1 (-1) = 6 (-1)
2x-3 = 5
2) 2x-3 (+3) = 5 (+3)
2x = 8
3) 2x(/2) = 8(/2)
x = 4
<u>Case 1 :</u>
5 positive x-tiles = 5x
1 positive unit tile = 1
5 positive x-tiles and 1 positive unit tile = 5x + 1
<u>Case 2 :</u>
2 negative x-tiles = -2x
6 positive unit tiles = 6
so, 2 negative x-tiles and 6 positive unit tiles = -2x+6
We see that Gracia has represented the 1st case as 5x+(-1), which should be 5 positive x-tiles and 1 negative unit tile.
Hence the statement : 5 positive x-tiles and 1 positive unit tile to represent 5x+(-1) , explains Gracia's error.
