1. solve the compound inequality. graph the solution. -2(< =)2x-4< 4 a. 0(< =)x< -2 b. 1(< =)x< 4 c. 1(< =)x< 0 d. 3(< =)x< 6 2. solve the compound inequality. graph the solution. 4x-5< -17 or 5x+6> 32 a. x< -3 or x> 5 b. x< -5 1/2 or x> 7 2/5 c. x< -3 or x> 7 2/5 d. x< -5 1/5 or x> 5

Given: ad¯¯¯¯¯ is an altitude. prove: ab2+ac2=cb2 right triangle a b c with right angle a. point d lies on side b c and segment a d is drawn. angle a d c is a right angle. drag and drop a reason into each box to correctly complete the two-column proof. statement reason ad¯¯¯¯¯ is an altitude, and ∠bac is a right angle. given ∠adb and ∠adc are right angles. definition of altitude ∠bac≅∠bda ? ∠bac≅∠adc ? ∠b≅∠b ? ∠c≅∠c reflexive property of congruence △abc∼△dba ? △abc∼△dac aa similarity postulate abbd=cbab ? ab2=(cb)(bd) cross multiply and simplify. acdc=cbac polygon similarity postulate ac2=(cb)(dc) cross multiply and simplify. ab2+ac2=ab2+(cb)(dc) addition property of equality ab2+ac2=(cb)(bd)+(cb)(dc) substitution property of equality ab2+ac2=(cb)(bd+dc) ? bd+dc=cb segment addition postulate ab2+ac2=cb2 substitution property of equality