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

Question

How do I solve 0.7x-2<5.5 and graphics it on an number line. We are learning about Word problems Leading to Inequalities. But I honestly don't know how to solve this correctly. What are the steps to solving and how do I place it on a number line?

Answer 1

Solving an inequality is very similar to solving an equality.  Start with 

 

0.7x - 2 < 5.5

 

Add 2 to both sides to get 

 

0.7x < 7.5

 

Divide both sides by 0.7 to get 

 

x < 10.71

 

To place this on the number line, draw an open circle at x = 10.71 and shade or darken everything to the left of the circle.  

 

The circle is open because it is a strict inequality.  If it was less than or equal then the circle would be shaded as well.