Question

Solve x – 9 ≥ -7(x + 2). Write your solution using set builder notation. Please show all of your work.

Answer 1

x – 9 ≥ -7(x + 2)
x ≥ -7(x + 2) + 9
x ≥ -7x -14+9
x ≥ -7x - 5
8x ≥ -5
x ≥ -5/8

Answer 2

Now, for set builder notation.

Answer 3

{ x| x is Real and x ≥ -5/8 }