The ordered pair (a,b) satisfies the inequality y < x + 6. which statement is true ?
1 answer:
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:
Check all options:
A. Subtract 6 from b:
So, if you subtract 6 from b it will be less than a but never equal to a, so this option is false.
B.
So, a is greater than b - 6, not b. This option is false.
C. If you add 6 to a, then
This option is true.
D. a+6 is greater than b, so it cannot be less than b. This option is false.
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Since there is no picture shown, I just plotted the given data points myself. That is shown in the attached picture. The blue rectangle is rectangle PQRS while the orange one is rectangle JKLM. I believe there are some choices for this question but you forgot to include. Nevertheless, I will give my observations from the given figure.
The tile PQRS is bigger than tile JKLM. A rectangle is a two-dimensional shape that has two sets of equal parallel planes. Thus, its area is equal to the length multiplied by its width.
tile PQRS = (9-5)*(12-7) = 20 units²
tile JKLM = (6-4)*(10-5) = 10 units²
Tile PQRS is larger by 10 units².
The tile PQRS is bigger than tile JKLM. A rectangle is a two-dimensional shape that has two sets of equal parallel planes. Thus, its area is equal to the length multiplied by its width.
tile PQRS = (9-5)*(12-7) = 20 units²
tile JKLM = (6-4)*(10-5) = 10 units²
Tile PQRS is larger by 10 units².