algebra 1
posted by naomi .
1)write an inequality
a. the sum of three times a number and 2 lies between 7 and 14
b.seven less than 4 times a number is at most 44 and at least 24.
2)which is not a solution of 4 is less than or equal to 26x less than or equal to 8.
3) 2x1<x+2<6x+12
a. 0
b. 1
c. 2
d.1

1a. 7 < (3x+2)<14.
2. 4<= 26x <= 8.
42 <= 6x <= 82
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. 2x1<x+2 < 6x+12
Solve the compound inequality as 2 separate inequalities.
2x1 < x+2.
2xx < 2+1
X < 3.
x+2 < 6x+12
x6x < 122
5x < 122
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.