SOLUTION: Solve and graph the solution set. A) 5y + 3 is less than or equal to -2 or -7 is greater than or equal to 0. B) x-9 < 3x-4 < x+8

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Question 481262: Solve and graph the solution set.
A) 5y + 3 is less than or equal to -2 or -7 is greater than or equal to 0.
B) x-9 < 3x-4 < x+8

Answer by lwsshak3(11628)   (Show Source): You can put this solution on YOUR website!
Solve and graph the solution set.
A) 5y + 3 is less than or equal to -2 or -7 is greater than or equal to 0.
B) x-9 < 3x-4 ≤ -2
**
A) 0≤5y+3≤-2
0≤5y≤-5
0≤y≤-1
[0,-1]
number line
<........0<........>-1........>
..
0≤5y+3≤-7
0≤5y≤-10
0≤y≤-2
solutions:
[0,-2]
number line
<........0<........>-2........>
..
B) x-9 < 3x-4 ≤ -2
x-9 < 3x-4
-5<2x
2x>-5
x>-5/2
..
3x-4 ≤ -2
3x≤2
x<2/3
solutions:
(-5/2, 2/3)
number line
<........-5/2<........>2/3........>

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