Warm-Up

Solving Inequalities

Give two ways that you can say the following statement. “Negative two is less than r” or “r is greater than negative two”

Solving One-Step Inequalities By Adding or Subtracting Dante has at most $12 to spend on entertainment each week. So far this week, he spent $7.50. Write and solve an inequality to determine how much money Dante can spend on entertainment the rest of the week.

Solving One-Step Inequalities By Multiplying or Dividing A spool of ribbon is 80 inches long. Riley needs to cut strips of ribbon that are 14 inches long. What are the possible numbers of strips that Riley can cut?

Solving Two-Step and Multi-Step Inequalities

Write an inequality for each statement StatementInequality x is a positive numberx > 0 x is a nonnegative number x times negative 3 is positive-3x > 0 x is a negative numberx < 0 x is not a positive number The opposite of x is greater than 2-x > 2

Practice and Problem Solving For what values of x is the area of the rectangle greater than the area of the triangle? 12 x x + 6

Homework Write an inequality to represent the relationship. Solve your inequality. 1)Ten less than five times a number is less than six times the number decreased by eight. 2) Use the table to determine how many movies you would have to rent for Video View to be less expensive than Movie Place. Membership Fee ($)Cost Per Rental ($) Movie PlaceNone2.99 Video View