Question

The ordered pair (a,b) satisfies the inequality y < x + 6. which statement is true ?

Answer 1

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:

$b$

Check all options:

A. Subtract 6 from b:

$b-6$

So, if you subtract 6 from b it will be less than a but never equal to a, so this option is false.

B.

$bb\\ \\a>b-6$

So, a is greater than b - 6, not b. This option is false.

C. If you add 6 to a, then

$bb$

This option is true.

D. a+6 is greater than b, so it cannot be less than b. This option is false.