1. 7 - 6y > 9
7 - 6y > 9
Subtract 7 from both sides
-6y > 19 - 7
Subtract 7 from 19 to get 12
-6y > 12
Divide both sides by -6 (because the 6 is negative, the direction of the inequality is changed)
y < 12/-6
Divide 12 by -6 to get -2
y < -2 (graph this on the number line)
2. 2(x+2) - 3x ≥ -1
2 (x+2) - 3x ≥ -1
Use the distributive property to multiply 2 by x+2
2x + 4 -3x ≥ -1
Combine 2x and -3x to get -x
-x + 4 ≥ -1
Subtract 4 from both sides
-x ≥ -1 - 4
Subtract 4 from -1 to get -5
-x ≥ -5
Divide both sides by -1 (again because the 1 is negative, the direction of the inequality is changed)
x ≤ -5/-1
The fraction can be simplified to 5 by removing both negative signs
x ≤ 5 (graph this on the number line)
