Text of Aim: Compound Inequalities Course: Adv. Alg. & Trig. Aim: How do we solve compound inequalities?...
Slide 1Do Now: Symbolically - Graph the solution set of (x > 1) (x < 5) x is a number greater than 1 and x is a number less than 5 Compound Inequality Symbolically - Graph the solution set of (x > 2) (x < -1) x is a number greater than or equal to 2 or x is a number greater than -1 0 1 2 3 4 5 6 7 -7 -6 -5 -4 -3 -2 -1 Aim: Compound Inequalities 9 < 3x + 6 and 3x + 6 < 15
{x |x > 4 x < –1} Solve each separately Describe each compound inequality. {x | –3 < x < 3} x is greater than or equal to 0 or x is less than or equal to -3 x is greater than or equal to -3 and x is less than 3 x is greater than or equal to 5 or x is less than -3 {x | x < –3 x > 0} {x | x < –3 x > 5} 0 1 2 3 4 5 6 7 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 -7 -6 -5 -4 -3 -2 -1 Model Problem The ideal length of a both is 13.48 cm. The length can vary from the ideal by at most 0.03 cm. A machinist finds one both that is 13.67 cm long. By how much should the machinist decrease the length so the both can be used? x = # cm to remove 13.45 < 13.67 – x < 13.51