4.4 Solving Multi-Step Inequalities pp 219-221 Remembering the rules for solving inequalities are much like the rules for solving equations with the exception of multiplying or dividing by a negative! 5x 3(x -2) < 6x 10 distribute – – 5x 3x + 6 < 6x 10 combine like terms on each side of the inequality sign – – 2x + 6 < 6x 10 get the variables on one side – -6x -6x -4x + 6 < -10 the constants on the other -6 -6 -4 x < -16 divide by -4 --- don’t forget to flip the sign!!! -4 -4 x > 4 Check a number greater than 4 to see if you solved correctly. 5(8) 3((8) -2) < 6(8) 10 – – 40 3 (6) < 48 10 – – 40 18 < 38 – 22 < 38 Correct!
4.4 Solving Multi-Step Inequalities pp 219-221 Remembering the rules for solving inequalities are much like the rules for solving equations with the exception of multiplying or dividing by a negative! 5x – 3(x -2) < 6x – 10 distribute 5x – 3x + 6 < 6x – 10 combine like terms on each side of the inequality sign 2x + 6 < 6x – 10 get the variables on one side -6x -6x -4x + 6 < -10 the constants on the other -6 -6 -4 x < -16 divide by -4 --- don’t forget to flip the sign!!! -4 -4 x > 4 Check a number greater than 4 to see if you solved correctly. 5(8) – 3((8) -2) < 6(8) – 10 40 – 3 (6) < 48 – 10 40 – 18 < 38 22 < 38 Correct!