Solve, write solution using set builders notation. show work -8 - 11 (3x + 7)

-8 - 11 ( 3x + 7 ) < -40x -
9

First distribute the -11

By
distributing, you should get

-8 - 33x -77
< -40x -9 now combine the like terms ( - 8 with -77
)

By combining the like terms, you should
get

-85 - 33x < -40x - 9
add -85 on both sides

By adding, you should
get

-33x < -40x + 76
now add 40x on both sides

by adding, your
should get

7x < 76
divide both sides by 7

By dividing, you
should get

x < 76/7

your answer is
(76/7, -inf.)