Question

1. Consider the inequality 2x < 6(2).

a. Write the inequality to describe the possible values of x.

b. What could you do to both sides of the original inequality to determine your answer to part (a)?

Answer 1

We want

$2x<6\cdot 2=12$

So, if we divide both sides by 2, we have

$x<6$

So, we can accept all values for $x$, as long as they are less than 6 (excluded)

Answer 2

Answer:

a) 2x < 6(2)

x < 6

x can take any real value less than 6

b) divide both sides by 2;

Or multiply both sides by ½