Choose the missing step in the given solution to the inequality −x − 10 > 14 + 2x.
−x − 10 > 14 + 2x
−3x −10 > 14

x < −8
a. −3x > 24
b. −3x < 4
c. −3x > −4
d. 8 < x

a.

Step-by-step explanation:

We have been given an inequality . We are asked to find the missing step to solve the given inequality.

Let us solve the given inequality.

Therefore, our missing step is .

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:

the mistake in the pattern is that :

b. the decimal point was moved one too many place values each time

the correct pattern could be made by :

b. moving the decimal point to the right the same numbers of place values as the exponents