Solving Multi-Step Linear Inequalities

Solving Multi-Step Inequalities Use the Four Basic Transformations to isolate the variable. Add Subtract Multiply* Divide* * Remember to reverse the inequality symbol if multiplying or dividing by a negative number.

Solving Multi-Step Inequalities Solve the inequality:

Solving Multi-Step Inequalities Solve the inequality: 3x – 6 > 12 Add 6 to both sides 3x > 18 Divide both sides by 3 x > 6 -½x + 4 ≤ 10 Subtract 4 from both sides -½x ≤ 6 Multiply both sides by -2 x ≥ -12 Remember to flip the inequality!

Solving Multi-Step Inequalities Solve the inequality:

Solving Multi-Step Inequalities Solve the inequality: 5 – ½x ≥ -3 -½x ≥ -8 x ≤ x > -3x x > -3x + 5 5x > 5 x > 1

Modeling and Solving Real-Life Problems 1. Write a Verbal Model 2. Assign Labels – Variables for unknown values – Numbers for given values 3. Write an Algebraic Model 4. Solve the problem 5. Check your result

Modeling and Solving Real-Life Problems Application Problem At a grocery store, four oranges cost $2.39 and kiwi fruit cost $.69 each. You have $5 to spend and you buy four oranges. Write an inequality that represents the number of kiwi fruit that you can buy.

Modeling and Solving Real-Life Problems Application Problem At a grocery store, four oranges cost $2.39 and kiwi fruit cost $.69 each. You have $5 to spend and you buy four oranges. Write an inequality that represents the number of kiwi fruit that you can buy k ≤ 5

Modeling and Solving Real-Life Problems Application Problem Write an inequality for the value of x: x 12 Area < 72

Modeling and Solving Real-Life Problems Application Problem Write an inequality for the value of x: x 12 Area < 72 Area = length times width 12x < 72