Anumber minus 1 is at most 9, or two times the number is at least 24

x - 1 ≤ 9           or         2x ≥ 24

 +1   +1                            

  x ≤  10           or          x ≥ 12

Graph: <----------------10      12 ---------------->

Interval Notation: (-∞, 10] U [12, ∞)

given that triangle abc is transformed two times to get triangle

a"b"c"

first abc is transformed in to a'b'c' as follows:

the coordinates of a are (1,-1) and transformed into a'(-1,1)

similarly b (4,-2) became b'(-4,2) and

c(7,-2) became c'(-7,2)

i.e. (x,y) becomes (-x,-y)

this is nothing but reflection about a point here origin.

thus first transformation is reflection on the origin.

next is exactly shifting 3 units down

source:

37

step-by-step explanation: