Question

explain 1b using inductive reasoning
visit bim.easyaccessmaterials.com, read integrated mathematics 1 lesson 9.2, then read the section below.
example 2 - making and testing a conjecture
make and test a conjecture about the sign of the product of any three negative integers.
step 1: find a pattern using a small group of numbers, and make a conjecture.
(-1)(-2)(-3) = -6
(-2)(-4)(-6) = -48
conjecture: the product of any three negative integers will be a negative integer.
step 2: test your conjecture.
(-2)(-5)(-5) = -50
(-3)(-10)(-4) = -120
visit www.bigideasmathvideos.com to watch the flipped video instruction for the \try this\ problem(s) below.
try this video for extra example 2 - making and testing a conjecture

1. make and test a conjecture about the product of a negative integer and a positive integer.

Explanation:

Step1: Find pattern with sample numbers

$(-1)(2) = -2$
$(-3)(4) = -12$
$(-5)(1) = -5$

Step2: Formulate a conjecture

Conjecture: The product of a negative integer and a positive integer will be a negative integer.

Step3: Test conjecture with new values

$(-2)(6) = -12$
$(-7)(3) = -21$

Answer:

Conjecture: The product of a negative integer and a positive integer is a negative integer.
Test results confirm the conjecture holds for new integer pairs.