Linear Inequalites

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Information about Linear Inequalites
Education

Published on March 13, 2009

Author: joshsmith1110

Source: authorstream.com

Slide 1:  SOLVING LINEAR INEQUALITIES W/ ONE UNKNOWN VARIABLE AND THEIR GRAPHS OBJECTIVE: : OBJECTIVE: At he end of the lesson, the students should be able to solve and demonstrate understanding of linear inequalities in one variable unknown and to graph an inequality in a number line. What do you call to that open sentence that makes use of the symbol = ? : What do you call to that open sentence that makes use of the symbol = ? An open sentence that makes use of the symbol = is called EQUATION. Slide 4: An open sentence that makes use of any of these relation symbols >, <, =, =, and ? is called INEQUALITY. What do you call to that open sentence that makes use of the ff. symbols : >, =, <, =, and ?? EXAMPLE #1: : EXAMPLE #1: 1.Solve the inequality: x + 8 > 5 solution: X + 8 > 5 Adding -8 to both sides of the inequality. x + 8 + (-8) > 5 + (-8) X + 0 > 5 – 8 X > -3 CHECK : : CHECK : The value of X > -3 : X + 8 > 5 -3 + 8 > 5 5 > 5 * IT IS FALSE. Slide 7: The graphs of x + 8 > 5 whose solution is x > -3. -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 8 What property is used when we add -8 to both sides of the inequality? : What property is used when we add -8 to both sides of the inequality? Addition property of inequality allows us to add the same numbers to both sides of the inequality. Why do you think that we do not shade the circle? what does it indicate? : Why do you think that we do not shade the circle? what does it indicate? An open circle indicates that the value of x is not included to the solutions that make the sentence true. Example #2 : : Example #2 : 2. Consider this inequality : 5x + 3 = 18 solution: 5x + 3 = 18 adding -3 to both sides of the inequality. 5x + 3 + (-3 ) = 18 + ( -3 ) 5x + o = 15 5x = 15 Solve for the value of x: : Solve for the value of x: 5x = 15 1/5 ( 5x ) = ( 15 ) 1/5 5/5 X = 15/5 X = 3 CHECK : : CHECK : The value of x = 3 : 5x + 3 = 18 5(3) + 3 = 18 15 + 3 = 18 18 = 18 * It is true. Slide 13: The graphs of 5x + 3 = 18 whose solution is x = 3. -5 -4 -3 -2 -1 0 1 2 3 4 5 6 What property is used in solving the value of x by multiplying 1/5 to both sides of the equation? : What property is used in solving the value of x by multiplying 1/5 to both sides of the equation? Multiplication property of inequality allows us to multiply the same numbers to both sides of the inequality. Why do you think that we shade the circle? what does it indicate? : Why do you think that we shade the circle? what does it indicate? A closed circle indicates that the value of x is included to the solutions that makes the sentence true. Slide 16: T--- H--- E--- E--- N--- D--- REPORTED BY: DIONIDO, RUBY Y. PRESENTED TO: Mr. Salvador Salazar

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