What is the solution to the inequality? -2/3 (2x - 1/2) ≤ 1/5x - 1 express your answer in interval notation.

Alright, lets get started.

Distributing into parenthesis

Subtracting from both sides

Adding in both sides

Adding in both sides

Making common denominator, adding fractions

It means

Dividing 23 in both sides

In interval notation

[,∞)

This is the answer

Hope it will help :)

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

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