Exercise 19 Page 396

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 must reverse the inequality sign.

n ÷ 6 >2

DivToFrac

a÷ b=a/b

n/6 > 2

MultIneq

LHS* 6 > RHS * 6

n/6 * 6 > 2* 6

FracMultDenomToNumber

a/6* 6 = a

n> 2* 6

Multiply

Multiply

n > 12

Note that all values of n greater than 12 satisfy the inequality. Now let’s graph the inequality on a number line. Since n cannot equal 12, we draw an open circle at this point. Since n is greater than 12, we will shade the part of the number line that represents numbers greater than 12. This means that we shade to the right of our point at 12.