Posted by naomi on Monday, December 17, 2012 at 5:30pm.
1a. 7 < (3x+2)<14.
2. -4<= 2-6x <= 8.
-4-2 <= -6x <= 8-2
-6 <= -6x <= 6
1 >= X >= -1
-1<= X <= 1.
S0 X can be any value from -1 to positive 1.
C. 2 is False. Not a solution.
3. 2x-1<x+2 < 6x+12
Solve the compound inequality as 2 seperate inequalities.
2x-1 < x+2.
2x-x < 2+1
X < 3.
x+2 < 6x+12
x-6x < 12-2
-5x < 12-2
-5x < 10
X > -2.
Solution set: -2 < X < 3.
All values of X between -2 and 3 satisfies the compound inequality and
each single inequality.
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