C 10N21 c CN21 ft solve and check the equation 25 4x72 20 o

C) 10N21 c) CN21 ft solve and check the equation. 25) 4x7/2 20 o A) 26) (5x 1/2 D) 10 solve the absolute value equation or indicate that the equation has no solution. A) (-11) C) 17, 11) D) D solve the linear inequality. Other than e, use interval notation to express the solution set and graph the number line. 28) -8x z 24 -10-9-8-7-6-5-4-3-2-1 0 1 2 3 4 5 6 7 8 9 10 A) [-3, 00) B) 13, 00) -10-9-8-7-6-5-4-3-2-1 0 1 2 3 4 5 6 7 8 -109-8-7-6-5-4-3-2-1 0 1 2 3 4 5 6 7 8 9 1 D) (-00, 3] C) (-co, -3] -10-9-8-7-6-5-4-3-2-1 0 1 2 3 4 5 6 -109-8-7-6-5-4-3-2-1 0 1 2 3 4 5 6 7 8 9 10

Solution

25) 4x^7/2 - 20=0 so 4x^7/2 = 20 and x^7/2 = 20/4=5
So s= 25^1/7 ; So answer is =c;

26) (5x+2)^0.5= 5 so 5x+2= 25 and x= 25-2 / 5= 23/5; So answer is =c;

27) | x-2| = 9 so x-2 =9 and x-2= -9 which means x= 9+2 and x= -9 +2 so x= 11 and x=-7
Thus the answer is B;

28) -8x>= 24; so -x>= 24/8 = 3; If -x>= 3 then x <= -3

so the solution set is -infinity to -3; So answer is c

29) 6x-7 >= 5x-8 ; which means 6x-5x >= 7-8 so x>= -1
which means x can be from -1 to + infinity ; So answer is D

30) 19<= 5x-1 <= 29; Take this as two separate problems; i) 19<= 5x-1 so 5x>= 20 or x>= 20/5=4 so x>=4
ii) 5x-1<=29 so 5x<= 30 or x<=6 so x<=6; The common solution set is between 4 and 6 including those two numbers = [4.6] ; so the answer is C

31) -4 <= -4x-12 <4; Take this as two separate problems; i) -4 <= -4x-12 so 4x<= -12+4=-8 so 4x<=-8 meaning x<=-2; ii) -4x-12<4 so -4-12< 4x or 4x> -16 or x> -4;
So the solution common to these two solutions is s lies between -2 and -4 where -2 is included but -4 isn\'t included; so (-4, -2] ; so answer is D;


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