Question

What is the solution to the inequality: 7 - 8x < -x + 28

Show all work
A.) x > 3
B.) x < 3
C.) x > -3
D.) x < -3
Part 2: describe the graph of the solution ( include open circle/closed circle, direction of shading, etc.)

Answer 1

`7-8x < -x+28\\7-8x < 28-x\\7-28 < 8x - x\\-21 < 7x\\-3 < x`

(Sorry fo the graph) The idea is the following, draw the straigh line, and put the numbers -3, -2 ,-1, 0, 1, etc. In the position -3 you need to start to draw the interval solution, with an open circle.

`(-3, \infty)`

It is like
`\hspace{0.4cm} \circ ----------\\-3 , -2, 0, 1 , 2, ...`