Question

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

Answer 1

Answer:

Correct option: first one.

Step-by-step 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.

Answer 2

Answer:

Answer is A,

Step-by-step explanation:

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