Javier writes an integer on a piece of paper. The absolute value of his number is less than 4. Which is true of the possible values of Javier’s number?

It must be less than 4 but greater than -4

Step-by-step explanation:

1 - Give our unknown a variable

We'll give the integer the value x

2 - Write out the equation

| x | < 4

Because absolute value means its always positive, this means it has a range between -4 and 4 when given the rule that it must be less than and not equal to 4.

So his number x must be less than 4 but greater than -4

This is written as -4 < x < 4

walter needs to make at least 5 more cookies but no more than 40. 5 ≤ x ≤ 40

step-by-step explanation:

20 ≤ x + 15 ≤ 55

subtract 15 from all parts

20-15 ≤ x + 15-15 ≤ 55-15

5 ≤ x ≤ 40

this means how many more cookies he has to make

walter needs to make at least 5 more cookies, but no more than 40 cookies; 5 ≤ x ≤ 40