Exercise 1 Page 158

We can recall that Inequalities can be solved in the same way as equations, by performing inverse operations on both sides until the variable is isolated. The only difference is that when we divide or multiply by a negative number, we should reverse the inequality sign. Let's consider our inequality! n÷ 3<1 In this case, we can use the Multiplication Property of Inequality to multiply both sides of the inequality by 3.

n÷ 3 < 1

DivToFrac

a÷ b=a/b

n/3<1

MultEqn

LHS * 3=RHS* 3

n/3* 3< 1* 3

DenomMultFracToNumber

3 * a/3= a

n< 1* 3

Multiply

Multiply

n<3

The above tells us that all values of n that are less than 3 will satisfy the inequality. Below we demonstrate the inequality by graphing the solution set on a number line. Notice that n cannot equal 3, which we show with an open circle on the number line.