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Warm-up – Separate piece of paper…turning in today! Solve: x + 9 = 4x – 3 + 3x 5(x – 3) + 4 = 2x – 11 + 3x GET A CALCULATOR GET PAPER AND PEN/PENCIL OUT FOR NOTES!!!

HOMEWORK QUESTIONS?

Solving Linear Inequalities Unit 1-2

Definition Example: x + 2 < 5 Linear Inequality: a problem containing <, >, ≤, ≥, or ≠ instead of ‘=‘. Example: x + 2 < 5

REMEMBER: When solving an inequality, any time you multiply or divide by a negative number you must flip the inequality!

Solve the Inequality

Solve the Inequality

Solve the Inequality

YOUR TURN!

Inequality Word Problems Samantha wants to rent a car for a vacation. Reasonable Car Rental advertises that their daily rental rate is $30 plus $0.25 a mile. If Samantha wants to spend at most $100 for the rental car, what is the maximum number of miles she can travel on her vacation?

Inequality Word Problems Ryan works at a local television store. He gets paid $800 a month plus 25% commission on every television he sells. Find the total cost of televisions Ryan must sell in a month to earn at least $3500 a month.

YOUR TURN! Travis decides to go bowling at the local bowling alley. He knows that shoes cost $3.50 and each game he plays is $5.00. If Travis only has $20, what is the maximum numbers of games he can play?

x > 7 and 7 < x represent the same solution set? QUESTION: Do the inequalities x > 7 and 7 < x represent the same solution set?

If 5 + 3x = 17, then which equation is true? A. B. C. D. 2. Which expression does not simplify to a? (for a ≠ 0, for b ≠ 0) A. (a ÷ b) ∙ b B. (a – b) + a + b C. (a ∙ b) ÷ b D. (a + b) – b Bob has 3 times as much money as Amy has, and Sam has $5 more than Bob has. Bob, Amy, and Sam have a total of $75. Which equation can be used to find out how much money Amy has? A. x + 3x + (x – 5) = 75 C. x + 3x + (3x – 5) = 75 B. x + 3x + (x + 5) = 75 D. x + 3x + (3x + 5) = 75 4. If the perimeter of the rectangle can be at most 100 feet, which inequality can be used to find the width? A. w + (w + 5) ≤ 100 C. w + (w + 5) ≥ 100 B. 2w + 2(w + 5) ≤ 100 D. 2w + 2(w + 5) ≥ 100 w w+ 5

Assignment Pg. 94 #18-20 all & 37-42 all