Presentation on theme: "The Wolves basketball team is pictured below. Can you determine the height of each player?"— Presentation transcript:
The Wolves basketball team is pictured below. Can you determine the height of each player?
ANSWER Player's Heights: –King is 76.5 inches tall. –Boomer is 79 inches tall. –Julie is 74.5 inches tall. –Carmello is 77 inches tall. –Timmy is 72 inches tall. –Larry is inches tall.
a.) What inequality is depicted by this see-saw? b.) Solve the inequality for x?
ANSWER a.) The see-saw depicts x + 3 < 7. b.) x + 3 < 7 x < 4
Solving linear inequalities is pretty much the same as solving linear equations... with one very important exception.
Look at this true statement: Suppose we multiply both sides by > 3 (-1)(5) ? (3)(-1) -5 ? -3
What is the relationship between these two numbers ? ANS: -5 is less than -3 because it is further to the left on the number line. - 5 < -3
So we just learned the one exception. That is: When you multiply an inequality by a negative number, it changes the direction of the inequality. This is also true if you divide by a negative.
EXAMPLE: -5x < x > -2 Dividing both sides by a negative number reverses the inequality sign. Divide both sides by negative 5
Lets Practice Solve and Graph < 2r 2.r/3 > 2 3.x + 3 < w >
Writing Inequalities Write an algebraic inequality 1.The recipe calls for not less than 16 ounces of butter. 2.Mr. Valdez says he cannot contribute more than $ The team will have to score no fewer than 20 points to win. 4.The sleeping bag is useful for camping when temperatures are at least -5F. x 16 x 500 x 20 x -5