# Solving TwoStep Inequalities Warm Up Solve each inequality

- Slides: 11

Solving Two-Step Inequalities

Warm Up Solve each inequality. Graph and check the solution.

Find 3 possible solutions to the given inequalities. •

• Solving two-step inequalities is similar to solving two step equations. You must isolate the variable by performing the same operation on both sides of the inequality. • The direction of the inequality symbol changes when both sides of the inequality are multiplied or divided by a negative number. • It is important to distinguish between the phrases “greater than” and “greater than or equal to” and the phrases “less than” and “less than or equal to. ”

During the year Ms. Torres paid $1, 200 for car repairs and bought 4 new tires. The total amount she spent on her car for repairs and tires was less than $1, 820. How much did each new tire cost? Justify your answer.

Solve 5 f + 11 ≤ -4

Ed wants to bicycle at least 75 miles this week. The inequality 11 + 4 b ≥ 75 can be used to find b, the average number of miles he should bike on his remaining 4 bike rides this week. Solve the inequality, and graph the solution set on a number line.

Dianna is buying lunch for herself and two friends. She has a coupon for $15 off the total bill and wants to spend less than $49 after using the coupon. The equation 3 m - 15 < 49 can be used to find m, the average price of each friend’s lunch. Determine which, if any, of the following values make the equation true: m = 21; m = 22; m = 23.

Exit Ticket •

- Linear and absolute value inequalities
- Solve each system of inequalities by graphing
- Lesson 1-6 compound inequalities
- How to solve inequalities graphically
- Compound inequality
- Polynomial inequalities
- Real life inequalities
- Solving inequalities calculus
- Inequality involving absolute value
- Solve the inequality analytically
- Illustrate exterior angle inequality theorem
- 6.7 solving radical equations and inequalities