Question

The ordered pair (3, 8) is a solution to the inequality y< |x-2|+7. T or F

Answer 1

F Choice B is correct. The ordered pair (3, 8) is a solution to the inequality y<|x-2|+7.

Explanation:

We have given an inequality:

y<|x-2|+7

We have to check, Is (3,8) is the solution of inequality or not?

Put y = 8 and x = 3 in the inequality we get,

y<|x-2|+7

8 < I(3)-2I +7

8 < I3-2I +7

8< 1+7

8<8

It is false because 8 is not less then 8.

Therefore, it is false that (3,8) is the solution of inequality.

Answer 2

Answer: F (False)

Explanation:

To solve this problem you can apply the proccedure shown below:

Substitute x=3 and y=8 into the inequality given in the problem, which is:

`y<|x-2|+7`

Then:

`y<|x-2|+7\\8<|3-2|+7\\8<1+8`

`8<8` (This is not true)

The symbol < means "less than" and 8 is not less than 8, therefore, the answer is:

F (False)