Solve the inequality
8x – 6 <  -22
8x < - 16 {added 6 to both sides}
x < -2 {divided both sides by 8} 

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Solve the inequality.
9 < 7 - y
2 < -y {subtracted 7 from both sides}
-2 > y {divided both sides by -1 and changed the inequality sign}
y < -2 {flipped entire inequality, so that y is first} 

- When you multiply or divide both sides of an inequality by a negative number, you have to change the inequality sign*

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Solve the inequality
-5x - (2x + 3) ≥ 1
-5x - 2x - 3 ≥ 1 {distributed the negative sign}
-7x - 3 ≥ 1 {combined like terms}
-7x ≥ 4 {added 3 to both sides}
x ≤ - 4/7 {divided both sides by -7} 
 
- Whenever you multiply or divide both sides by a negative number, you have to change the inequality sign.

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