Answer:
True: If you add 6 to a, this will be greater than b.
Step-by-step explanation:
If the ordered pair (a,b) satisfies the inequality y < x + 6, then the coordinates of this point satisfy the inequality. Substitute into the inequality x = a and y =b:
[tex]b<a+6[/tex]
Check all options:
A. Subtract 6 from b:
[tex]b-6<a+6-6\\ \\b-6<a[/tex]
So, if you subtract 6 from b it will be less than a but never equal to a, so this option is false.
B.
[tex]b<a+6\\ \\a+6>b\\ \\a>b-6[/tex]
So, a is greater than b - 6, not b. This option is false.
C. If you add 6 to a, then
[tex]b<a+6\\ \\a+6>b[/tex]
This option is true.
D. a+6 is greater than b, so it cannot be less than b. This option is false.
