how to solveand write in set builder notation

Question

20x-3(7x+6)is less than or = -8x+16

 

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Answer 1

20x - 3(7x + 6) <(=) -8x + 16

distribute on the left 20x - 21x - 18 <= -8x + 16

combine like terms on the left

-x - 18 <= -8x + 16

add 8x to both sides

7x - 18 <= 16

add 18 to both sides   7x <= 34

divide both sides by 7   x<= 34/7

set builder notation is {x\ x <= 34/7}

Answer 2

7/3-5/2x=8+2x

Answer 3

8x-21<19 need to know how to solve the linear and write the solution in notation set-builder.