21t = 33(t – 4) 21t = 33t – t = -132 t = 11 # 1RTD 1 st cyclist21t21t 2 nd cyclist33t – 433(t – 4) It took the 2 nd cyclist 7 hours to catch the first.

480t = 160(t + 2) 480 = 160t = 160t 1 = t # 2RTD Jet Plane480t480t Propeller Plane 160t (t + 2) The jet caught the plane 480 miles from the airport.

45t = 54(t – 1) 45t = 54t – 54 -9t = -54 t = 6 # 3RTD Dan45t45t Sister54t – 154(t – 1) Dan’s sister caught him in 5 hours.

300t = 500(8 – t) 300t = 4000 – 500t 800t = 4000 t = 5 # 4RTD To300t300t From5008 – t500(8 – t) The distance he flew one-way was 1500 miles.

5t = 10(6 – t) 5t = 60 – 10t 15t = 60 t = 4 # 5RTD Out5t5t In106 – t10(6 – t) The distance he went out was 20 miles.

48t = 40(11 – t) 48t = 440 – 40t 88t = 440 t = 5 # 6RTD To48 t48t From4011 – t40(11 – t) She traveled 240 miles away.

Section 7.3 Inequalities

What do these signs mean? ><≥≤ Greater than Less thanGreater than or equal to Less than or equal to x > 10y < -4z ≥ -2a ≤ 0 ○ (open circle) ○ (open circle) ● (closed circle) ● (closed circle)

Write an inequality for each statement. ><≥≤ Greater thanLess thanGreater than or equal to Less than or equal to Joe’s height is more than 52 inches. Bob’s weight is less than or equal to 120 pounds. Sam’s age is less than 19 years. Lisa’s speed is at most 62 mph.

Write an inequality for each graph. ><≥≤ Greater thanLess thanGreater than or equal to Less than or equal to

For the given value is the statement true or false? Justify your answer.

Section Solving Inequalities If you can solve an equation, you can solve an inequality.

Write down the following inequality six times on your paper. 12 < 20 Is this a true statement?

Key Concept When multiplying or dividing both sides of an inequality by a negative number, the inequality sign must be reversed to keep the inequality true.

Solve each inequality, Graph the solution

Homework Practice 7.3, 7.4, 7.5 Due Monday Quiz Tomorrow