Compare the solution of each equation to 0. Determine if the solution is less than 0, equal to 0, or greater than 0. This question requires you to show your work. (3 points)
−24=6+−3x
9x−8=−8
x/8+7=−9
−24=6+−3x
Subtract 6 from both sides: -24 - 6 = -3x
-30 = -3x
Divide both sides by -3: -30/-3 = x
10 = x
The solution to -24 = 6 + -3x is x = 10.
Since 10 is greater than 0, the solution is greater than 0.
9x - 8 = -8
Add 8 to both sides: 9x = 0
Divide both sides by 9: 9x/9 = 0/9
x = 0
The solution to 9x - 8 = -8 is x = 0.
Since 0 is equal to 0, the solution is equal to 0.
x/8 + 7 = -9
Subtract 7 from both sides: x/8 = -16
Multiply both sides by 8: 8(x/8) = -16(8)
x = -128
The solution to x/8 + 7 = -9 is x = -128.
Since -128 is less than 0, the solution is less than 0.