Exercise 46 Page 175

We are given a verbal expression and we want to write an inequality that it represents. The product of- 3and a numberp is greater than21 Every inequality has an inequality symbol and values or expressions on either side of this symbol. In this exercise, we have the phrase greater than, so we can identify that the inequality symbol should be >. The product of- 3and a numberp > 1 On the left-hand side, we have one key phrase: product. These words tell us the operations that will be used in our inequality. Product indicates multiplication. The product of - 3 and a numberp - 3 * pOn the right-hand side, we have a constant. Putting these sides together, we have a complete inequality. The product of - 3 and a numberp is greater 21. - 3 * p > 21 Now we can solve the inequality. In case of the given inequality, we can use the Division Property of Inequality. To solve our inequality, we can divide both the left-hand side and the right-hand side by - 3.

- 3 * p > 21

DivEqn

.LHS /(- 3).=.RHS /(- 3).

- 3 * p/- 3 < 21/- 3

MovePartNumRight

a* b/c=a/c* b

- 3/- 3* p < 21/- 3

QuotOne

a/a=1

1* p< 21/- 3

IdPropMult

Identity Property of Multiplication

p <21/- 3

CalcQuot

Calculate quotient

p <- 7