Question

Sarah graphed the solution to the inequality StartAbsoluteValue f + 3 EndAbsoluteValue less-than 9 on the number line.

A number line going from negative 14 to positive 10. Open circles are at negative 12 and positive 6. Everything between the points is shaded.

Which inequality statement can be used to help determine if the graph is correct?
When f = 0, StartAbsoluteValue 0 + 3 EndAbsoluteValue less-than 9, which is true because 3 is less than 9.
When f = negative 12, StartAbsoluteValue negative 12 + 3 EndAbsoluteValue less-than 9, which is true because 9 is equal to 9.
When f = 10, StartAbsoluteValue 10 + 3 EndAbsoluteValue less-than 9, which is true because 9 is greater than 13.
When f = negative 14, StartAbsoluteValue negative 14 + 3 EndAbsoluteValue less-than 9, which is true because 9 is greater than –11.

Answer 1

Answer is A,

Explanation:

edge2020

Answer 2

Correct option: first one.

Explanation:

Let's analyse each option:

1)

When f = 0, |0 + 3| < 9, which is true because 3 is less than 9.

This statement is true, and the value f = 0 in inside the solution graphed by Sarah.

2)

When f = -12, |-12 + 3| < 9, which is true because 9 is equal to 9.

This statement is false, because the inequality uses a "less-than" symbol and not a "equal" symbol, so 9 < 9 is false

3)

When f = 10, |10 + 3| < 9, which is true because 9 is greater than 13.

This statement is false, because 9 is not greater than 13.

4)

When f = -14, |-14 + 3| < 9, which is true because 9 is greater than –11.

This statement is false, because the value of |-14 + 3| is 11 and not -11.

So the correct option is the first one.