Solve 0.7x - 2 < 5.5 and graph the solution on a number line.

Question

Is there an easier way to learn one step inequalities and one step inequalities in word problem form? How do I make the right number line?

Answer 1

The goal is to isolate the variable and get is down to x<?. This is actually a two step inequality problem.

 

0.7x - 2 < 5.5

       +2   +2

 

0.7x<7.5 This implies:

 

x<10.714

 

The way to graph this is to place an open circle of the number 10.714 on the number line indicating this number is not included  as a solution to the inequality. Then draw the arrow going left from the open circle indicating all numbers from -∞ to 10.714.